What is the answer to 77=13^x ?

The answer to 77=13^x is x=(ln(77))/(ln(13))

The solution is x=(ln(77))/(ln(13))

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77=13^x

77 = 1 3^{x}

x = \frac{ln ( 77 )}{ln ( 13 )}

Decimal Notation

x = 1.69352 \dots

Solution steps

77 = 1 3^{x}

Apply exponent rules

ln (77) = x ln (13)

Solve

ln (77) = x ln (13) : x = \frac{ln ( 77 )}{ln ( 13 )}

x = \frac{ln ( 77 )}{ln ( 13 )}

9^{x} - 3^{x + 1} + 1 = 0

3^{2 x + 2} = 81

3^{(n - 1)} = 1200

2^{x + 1} + 2^{x} - 2^{x - 1} = 3^{3} - 7

2^{x + 1} = 3 (5^{x})