# Inverse Of Log Base 10: What Is The Inverse Of Log Base 10? Finding the Inverse of a Logarithmic Function

Inverse of log base 10 is a mathematical function that helps to find the logarithm of a number to the base 10. It is also known as the antilogarithm.

## What Is The Inverse Of Log Base 10?

The inverse of log10 (x), denoted log(x), is 10x. In general, we have the following rule regarding the inverse function of a logarithmic function.

## How to Find the Inverse of Log Base 10?

Finding the inverse of a logarithmic function can be difficult, but it is possible with a little bit of algebra. To find the inverse of a logarithmic function, we need to find the natural logarithm of the function’s inverse. To do this, we use the inverse operations of logarithms: ln(x) = -1 for x < 0, and ln(x) = 1 for x > 0. Once we have found the inverse of a logarithmic function, we can use it to solve problems that involve logarithmic functions.

## Steps to Find the Inverse of a Logarithm

Finding the inverse of a logarithm is a process that can be simplified by breaking it down into three steps: finding the natural logarithm of the base, inverting the exponential function, and then applying the inverse logarithmic function. In order to find the natural logarithm of a number, one must first find its base. This can be done by taking the logarithm of the number itself, or its base 10 counterpart. Once the base is found, inverting the exponential function will give the inverse of the logarithm. Finally, applying the inverse logarithmic function will give the result back as a logarithm.

## Examples of How to Find the Inverse of a Logarithm

To find the inverse of a logarithmic function, we must first understand what the logarithm is. The logarithm is the inverse of a function that takes a number and converts it to a base 10 logarithm. To find the inverse of a logarithm, we take the base 10 logarithm of the original number and solve for the original number.

## Opposite of log10

Inverse of logarithm

x = log10(x) Inverse of logarithm: ln(x) = -1

## What are the Uses of Inverse of Log Base 10?

The inverse of a logarithmic function is used in many different ways. One use is to find the base 10 inverse of a number. This is done by taking the logarithm of the number and then reversing the order of the operations.

## What is the inverse function of LOG10?

An antilog in Excel is technically defined as the inverse of the LOG10 function. The LOG10 function means the logarithm in base 10 of a number. Given that definition, the antilog, or inverse log, of any number is simply 10 raised to that number.

## What is the inverse of taking the log?

exponential function

The inverse of a logarithmic function is an exponential function. When you graph both the logarithmic function and its inverse, and you also graph the line y = x, you will note that the graphs of the logarithmic function and the exponential function are mirror images of one another with respect to the line y = x.

Log base 10, also known as the common logarithm or decadic logarithm, is the logarithm to the base 10. The common logarithm of x is the power to which the number 10 must be raised to obtain the value x. For example, the common logarithm of 10 is 1, the common logarithm of 100 is 2 and the common logarithm of 1000 is 3.

## How do I uninstall LOG10?

Explanation: In order to eliminate the log based ten, we will need to raise both sides as the exponents using the base of ten. The ten and log based ten will cancel, leaving just the power on the left side. Change the negative exponent into a fraction on the right side.

## How do you find the inverse log 10 in Excel?

The antilog of a number, in Excel, is the inverse of the log of a number (to the base 10). In other words, it is the inverse of the LOG10 function (or Log function if using a base other than 10). So, to find the antilog of a number, all you need to do is raise it to the power of 10.

## How do you reverse a log function?

To rid an equation of logarithms, raise both sides to the same exponent as the base of the logarithms.

## Is log the same as log base 10?

The base-10, or “common”, log is popular for historical reasons, and is usually written as “log(x)”. … If a log has no base written, you should generally (in algebra classes) assume that the base is 10. The other important log is the “natural”, or base-e, log, denoted as “ln(x)” and usually pronounced as “ell-enn-of-x”.

## Is log the same as log10?

Usually log(x) means the base 10 logarithm; it can, also be written as log10(x) . log10(x) tells you what power you must raise 10 to obtain the number x. 10x is its inverse. ln(x) means the base e logarithm; it can, also be written as loge(x) .

## Is log base 10 or base e?

The log function with base 10 is called the “common logarithmic functions” and the log with base e is called the “natural logarithmic function”. The logarithmic function is defined by, if logab = x, then ax = b.
Natural Log Calculator Log Base 2
Difference Between log and ln Natural Log Formula

## Can we cancel log on both sides?

If you have the same operation on both sides of an equation, they cancel each other out! Keep in mind that this only works when the logarithms on both sides of the equation have the same base. If you had a logarithm with base 3 on one side and a logarithm with base 7 on the other side, they won’t cancel out.

## What is Antilog formula?

The antilog of any number is just the base raised to that number. So antilog10(3.5) = 10(3.5) = 3,162.3. This applies to any base; for example, antilog73 = 73 = 343.

## How do you do log base 10 in Excel?

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter.

Example.
Formula Description Result
=LOG10(10) Base 10 logarithm of 10. This is the power 10 is raised to to equal 10. 1

## What is exp formula in Excel?

The Excel EXP function is a Math formula that returns the value of the constant e (Euler’s number) raised to the power of a given number (ex). The constant e is approximately equal to 2.71828, which is the base of the natural logarithm.

## What’s the inverse of LN?

The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.

## What is the inverse of 6?

1/6

The multiplicative inverse of 6 is 1/6.

## What is the inverse of f/c )= 9 5c 32?

Divide c c by 1 1 . Since g(f(c))=c g ( f ( c ) ) = c , f−1(c)=5c9−1609 f – 1 ( c ) = 5 c 9 – 160 9 is the inverse of f(c)=95c+32 f ( c ) = 9 5 c + 32 .

## How do you find the inverse of a function in class 12?

To find the inverse of a rational function, follow the following steps.

An example is also given below which can help you to understand the concept better.
1. Step 1: Replace f(x) = y.
2. Step 2: Interchange x and y.
3. Step 3: Solve for y in terms of x.
4. Step 4: Replace y with f1(x) and the inverse of the function is obtained.

## What is the inverse function of E X?

The natural logarithm function ln(x) is the inverse function of the exponential function ex.

## What is the opposite of log base 2?

binary logarithm
The binary logarithm is the logarithm to the base 2 and is the inverse function of the power of two function.

## Is log base 10 or base 2?

The natural logarithm has the number e (that is b ≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler integral and derivative. The binary logarithm uses base 2 (that is b = 2) and is frequently used in computer science.

## Is log base 2 the same as ln?

The difference between log and ln is that log is defined for base 10 and ln is denoted for base e. For example, log of base 2 is represented as log2 and log of base e, i.e. loge = ln (natural log).

## What is value of log20?

Value of Log(20) = 1.30103
Function Number
Log AntiLog nLog Exp ( ) = ?

## Does log mean log10 or ln?

Difference Between Log and Ln x
Log Ln
Log generally refers to a logarithm to the base 10. Ln basically refers to a logarithm to the base e.
This is also known as a common logarithm. This is also known as a natural logarithm.
The common log can be represented as log10 (x). The natural log can be represented as loge (x).

## What does log10 mean in math?

The Math.log10() function returns the base 10 logarithm of a number, that is. ∀ x > 0 , Math.log10 ( x ) = log 10 ( x ) = the unique y such that 10 y = x \forall x > 0, \mathtt{\operatorname{Math.log10}(x)} = \log_10(x) = \text{the unique} ; y ; \text{such that} ; 10^y = x.

## Does log mean log base 10 or ln?

Natural log is often abbreviated as “log” or “ln,” which can cause some confusion. In some contexts (not in logistic regression), “log” can be used as an abbreviation for base 10 logarithms. However, if used in the context of logistic regression, “log” means the natural logarithm!

## What is the log base 10 of 0?

It is impossible to find the value of x, if ax = 0, i.e., 10x = 0, where x does not exist. So, the base 10 of logarithm of zero is not defined. The natural log function of 0 is denoted by “loge 0”.

## How do you find the log base 10 of a number?

Log(x) means the base 10 logarithm and can also be written as log10(x). It tells you what power 10 must be raised in order to obtain the number x. The inverse of log10(x) is 10x.

Important Properties of Logarithms you Need to Know !
RULE VALUE
loga (1) =
loga (ar) = r

## Is e the same as ln?

e is an irrational number equal to 2.71828182845… and is used as a base for natural exponential functions, such as . ln is a natural logarithm with e as its base (ln log ) and is used to determine the exponents of natural exponential functions. Natural logarithmic functions take the form, ln.

## FAQs about inverse of log base 10

### 1. How do you find the inverse of log base-10?

The inverse of a logarithmic function can be found by taking the natural logarithm of the original function, and then dividing that number by 10.

### 2. How do I find the inverse of a log?

Finding the inverse of a logarithmic function can be difficult, but there are a few methods you can use. One way is to use the natural logarithm function to find the inverse, but this can be time-consuming. Another way is to use the exponential function to find the inverse, but this can also be time-consuming. You can also use the inverse of a logarithmic function to solve equations.

### 3. What is the antilog of log10?

The antilog of a number is the inverse of its logarithm. To find the antilog of a number, take the inverse logarithm of the number and solve for the original number.

### 4. How do I get rid of log10?

If you want to get rid of the logarithm, you can use the inverse of the logarithm function to do it.

Conclusion: The inverse of log base 10 is a very useful mathematical function. It can be used to find the logarithm of a number to the base 10 or to find the antilogarithm of a number.

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