What is the answer to 57=15^x ?

The answer to 57=15^x is x=(ln(57))/(ln(15))

The solution is x=(ln(57))/(ln(15))

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57=15^x

57 = 1 5^{x}

x = \frac{ln ( 57 )}{ln ( 15 )}

Decimal Notation

x = 1.49297 \dots

Solution steps

57 = 1 5^{x}

Apply exponent rules

ln (57) = x ln (15)

Solve

ln (57) = x ln (15) : x = \frac{ln ( 57 )}{ln ( 15 )}

x = \frac{ln ( 57 )}{ln ( 15 )}

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

x, 5 (2 5^{x}) = 3.12 5^{y}

5^{x + 3} = 7^{4 - 3 x}

2 7^{x - 1} = 9

3^{2 x - 3} \cdot 9 = 1