Enter the base number raised to the exponent and the final value into the Reverse Exponent Calculator. The calculator will evaluate and display the Exponent.

- All Reverse Calculators
- Multiplying Exponent Calculator
- Negative Exponent Calculator
- Fraction Exponent Calculator

## Reverse Exponent Formula

The following formula is used to calculate the Reverse Exponent.

**y = logb(x)**

- Where y is the Reverse Exponent ( )
- b is the base number raised to the exponent
- x is the final value

## How to Calculate Reverse Exponent?

The following example problems outline how to calculate Reverse Exponent.

Example Problem #1:

- First, determine the base number raised to the exponent.
- The base number raised to the exponent is given as: 10.

- Next, determine the final value.
- The final value is provided as: 500.

- Finally, calculate the Reverse Exponent using the equation above:

y = logb(x)

The values given above are inserted into the equation below and the solution is calculated:

y = log10(500) = 2.6989

Example Problem #2:** **

For this problem, the variables required are provided below:

base number raised to the exponent = 6

final value = 1400

Test your knowledge using the equation and check your answer with the calculator above.

y = logb(x)** = ?**