What is the answer to 8^x=11 ?

The answer to 8^x=11 is x=(ln(11))/(3ln(2))

The solution is x=(ln(11))/(3ln(2))

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8^x=11

8^{x} = 11

x = \frac{ln ( 11 )}{3 ln ( 2 )}

Decimal Notation

x = 1.15314 \dots

Solution steps

8^{x} = 11

Apply exponent rules

x ln (8) = ln (11)

Solve

x ln (8) = ln (11) : x = \frac{ln ( 11 )}{3 ln ( 2 )}

x = \frac{ln ( 11 )}{3 ln ( 2 )}

8^{x} = 24

2^{3 x + 15} = 1

(2^{x})^{2} - 5 \cdot 2^{x} + 4 = 0

3^{x - 2} = 7^{x}

5^{2 x} = 5^{7 x - 1}