What is the answer to 8^x=12 ?

The answer to 8^x=12 is x=(ln(12))/(3ln(2))

The solution is x=(ln(12))/(3ln(2))

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8^x=12

8^{x} = 12

x = \frac{ln ( 12 )}{3 ln ( 2 )}

Decimal

x = 1.19498 \dots

Solution steps

8^{x} = 12

Apply exponent rules

x ln (8) = ln (12)

Solve

x ln (8) = ln (12) : x = \frac{ln ( 12 )}{3 ln ( 2 )}

x = \frac{ln ( 12 )}{3 ln ( 2 )}

6^{2 x + 6} = 1

e^{x} - 3 x = 0

x 27 = 3^{x + 2}

y, x = \frac{e ^{y} - e ^{- y}}{2}

6^{x + 2} + 6^{x} = 222