What is the answer to 3^x=171 ?

The answer to 3^x=171 is x=(ln(171))/(ln(3))

The solution is x=(ln(171))/(ln(3))

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3^x=171

3^{x} = 171

x = \frac{ln ( 171 )}{ln ( 3 )}

Decimal Notation

x = 4.68014 \dots

Solution steps

3^{x} = 171

Apply exponent rules

x ln (3) = ln (171)

Solve

x ln (3) = ln (171) : x = \frac{ln ( 171 )}{ln ( 3 )}

x = \frac{ln ( 171 )}{ln ( 3 )}

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

x, \frac{( 9 ^{x} - 1 )}{( 3 ^{y} + 2 )} = 81

(\frac{1}{5})^{3 + x} = (\frac{1}{25})^{4}

1 1^{- x - 5} = 1 4^{3 x}

(\frac{1}{6})^{x} = (\frac{4}{3})^{x + 1}