What is the answer to 77=11^x ?

The answer to 77=11^x is x=(ln(77))/(ln(11))

The solution is x=(ln(77))/(ln(11))

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77=11^x

77 = 1 1^{x}

x = \frac{ln ( 77 )}{ln ( 11 )}

Decimal Notation

x = 1.81150 \dots

Solution steps

77 = 1 1^{x}

Apply exponent rules

ln (77) = x ln (11)

Solve

ln (77) = x ln (11) : x = \frac{ln ( 77 )}{ln ( 11 )}

x = \frac{ln ( 77 )}{ln ( 11 )}

y, e^{x + y} = x

14 (8)^{x} = 7

3^{2 x} + 3^{x} = 20

2^{(- x)} + 2^{x} = 5

3^{2 x} + 3^{x} = 56