Solve for Exponents Calculator

Solve for Exponents Calculator
^ X   =  
Answer:
X =  

Formula to solve for exponents

This online calculator will solve for X in A^X = B. A raised to the X power equals B. Enter A and B and this calculator will solve for the exponent X. Note that -43 = -1 * 4 * 4 * 4 = -1 * 64 = -64. See notes for exponents.

For A^X = B we can solve for X by taking the log of both sides so:

log(A^X) = log(B)

Then:

X * log(A) = log(B)

Dividing both sides by log(A) we get:

X = log(B) / log(A).

Since taking the log() of negative numbers, 0 or 1 causes calculation errors we have provided some answers by definition and not actual calculations.

 

Cite this content, page or calculator as:

Furey, Edward "Solve for Exponents Calculator" From http://www.CalculatorSoup.com - Online Calculator Resource.