# Log Calculator

## What is Log Calculator?

Cuemath's Log Calculator is an online tool that helps to calculate the log value. Cuemath's online Log Calculator helps you to calculate the log value within a few seconds.

NOTE: Enter the values upto three digits only.

## How to Use Log Calculator?

Please follow the below steps to find the log value:

**Step1:**Enter the two positive real numbers in the given input box.**Step 2:**Click on the**"Calculate"**button to find the value of the log.**Step 3:**Click on the**"Reset"**button to clear the fields and find the value of log different values.

## How to Find Log Calculator?

Logs (or) logarithms is defined as another way of expressing exponents. Exponents are expressed as logarithms.

**A logarithm is defined using an exponent = b ^{x} =a ⇔ log_{b}^{a} = x, **where b is base, a is an argument and, x is a real number

There are two different types of logarithmic functions. They are:

1. Common Logarithmic Function (whose base is 10)

2. Natural Logarithmic Function (Whose base is e)

**Solved Example:**

Find the logarithm value of log_{2}^{4}

**Solution:**

log_{b}^{a} = x ⇔ b^{x} =a

log_{2}^{4 }⇔ 2^{x} = 4

x = 2

Therefore, the logarithm value of log_{2}^{4} is 2

Similarly, you can try the calculator to find the logarithm value of

1) log_{5}^{25}

2) log_{15}^{45}

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