What is the answer to 3^x=8 ?

The answer to 3^x=8 is x=(3ln(2))/(ln(3))

The solution is x=(3ln(2))/(ln(3))

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3^x=8

3^{x} = 8

x = \frac{3 ln ( 2 )}{ln ( 3 )}

Decimal Notation

x = 1.89278 \dots

Solution steps

3^{x} = 8

Apply exponent rules

x ln (3) = ln (8)

Solve

x ln (3) = ln (8) : x = \frac{3 ln ( 2 )}{ln ( 3 )}

x = \frac{3 ln ( 2 )}{ln ( 3 )}

(2^{x}) (3^{x - 2}) = 24

(3^{2 x + 1}) \cdot (2^{x + 1}) = 6

m, 144 = \frac{( 2 ^{m} )}{( 3 ^{n} )}

\frac{x}{( \frac{1}{2} )} = 2^{x} + 3

(\frac{2}{5})^{3 x - 7} = (\frac{5}{2})^{7 x - 3}