What is the answer to 57=17^x ?

The answer to 57=17^x is x=(ln(57))/(ln(17))

The solution is x=(ln(57))/(ln(17))

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57=17^x

57 = 1 7^{x}

x = \frac{ln ( 57 )}{ln ( 17 )}

Decimal

x = 1.42701 \dots

Solution steps

57 = 1 7^{x}

Apply exponent rules

ln (57) = x ln (17)

Solve

ln (57) = x ln (17) : x = \frac{ln ( 57 )}{ln ( 17 )}

x = \frac{ln ( 57 )}{ln ( 17 )}

5^{2 x - 1} = 9^{x}

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

2^{x} = 62.06896552

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

x - 50 e^{(- \frac{x}{200})} = 175