What is the answer to 95=11^x ?

The answer to 95=11^x is x=(ln(95))/(ln(11))

The solution is x=(ln(95))/(ln(11))

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95=11^x

95 = 1 1^{x}

x = \frac{ln ( 95 )}{ln ( 11 )}

Decimal Notation

x = 1.89911 \dots

Solution steps

95 = 1 1^{x}

Apply exponent rules

ln (95) = x ln (11)

Solve

ln (95) = x ln (11) : x = \frac{ln ( 95 )}{ln ( 11 )}

x = \frac{ln ( 95 )}{ln ( 11 )}

5^{3 x} = 2 5^{6}

2^{2 x + 2} = 9 (2^{x})^{- 1}

4^{x} = \frac{1}{2}

y, x^{y} - y^{x} = 0

64 = 2^{x - 1}