What is the answer to 8^x=132 ?

The answer to 8^x=132 is x=(ln(132))/(3ln(2))

The solution is x=(ln(132))/(3ln(2))

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8^x=132

8^{x} = 132

x = \frac{ln ( 132 )}{3 ln ( 2 )}

Decimal Notation

x = 2.34813 \dots

Solution steps

8^{x} = 132

Apply exponent rules

x ln (8) = ln (132)

Solve

x ln (8) = ln (132) : x = \frac{ln ( 132 )}{3 ln ( 2 )}

x = \frac{ln ( 132 )}{3 ln ( 2 )}

4^{8 x - 5} = 1 6^{5 x + 7}

2^{x - 1} = 102 4^{x}

4^{x + 2} = 8^{x}

3^{2 x} - 3^{2 x - 1} = 18

4^{x} - 2^{x + 1} - 8 = 0