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Solve for Exponents

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 -4^3 = -1 * 4 * 4 * 4 = -1 * 64 = -64. See notes for exponents.

Formula to solve 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.