What is the answer to 3^x=53 ?

The answer to 3^x=53 is x=(ln(53))/(ln(3))

The solution is x=(ln(53))/(ln(3))

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3^x=53

3^{x} = 53

x = \frac{ln ( 53 )}{ln ( 3 )}

Decimal

x = 3.61391 \dots

Solution steps

3^{x} = 53

Apply exponent rules

x ln (3) = ln (53)

Solve

x ln (3) = ln (53) : x = \frac{ln ( 53 )}{ln ( 3 )}

x = \frac{ln ( 53 )}{ln ( 3 )}

3^{x} = 38

1 6^{3 x} = 8^{x + 6}

(\frac{4}{9})^{x} = \frac{81}{16}

(\frac{1}{8})^{x} = 64

5^{3 n} = 125