What is the answer to 83=17^x ?

The answer to 83=17^x is x=(ln(83))/(ln(17))

The solution is x=(ln(83))/(ln(17))

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83=17^x

83 = 1 7^{x}

x = \frac{ln ( 83 )}{ln ( 17 )}

Decimal Notation

x = 1.55965 \dots

Solution steps

83 = 1 7^{x}

Apply exponent rules

ln (83) = x ln (17)

Solve

ln (83) = x ln (17) : x = \frac{ln ( 83 )}{ln ( 17 )}

x = \frac{ln ( 83 )}{ln ( 17 )}

3^{t} - 3 = 81

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

9^{3 x} = 81

3^{x} - 10 (3)^{x} + 9 = 0

\frac{1}{4 ^{x}} = 8