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. 

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:

  1. First, determine the base number raised to the exponent. 
    • The base number raised to the exponent is given as: 10.
  2. Next, determine the final value. 
    • The final value is provided as: 500.
  3. 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) = ?