What is the answer to 57=13^x ?

The answer to 57=13^x is x=(ln(57))/(ln(13))

The solution is x=(ln(57))/(ln(13))

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57=13^x

57 = 1 3^{x}

x = \frac{ln ( 57 )}{ln ( 13 )}

Decimal Notation

x = 1.57626 \dots

Solution steps

57 = 1 3^{x}

Apply exponent rules

ln (57) = x ln (13)

Solve

ln (57) = x ln (13) : x = \frac{ln ( 57 )}{ln ( 13 )}

x = \frac{ln ( 57 )}{ln ( 13 )}

2^{6 \cdot l o g_{4} (x)} = 8

9^{x + 12} = 8 1^{x + 5}

e^{3 - 4 x} = 8

e^{3 - 4 x} = 6

e^{2 x + 1} = \frac{1}{e}