What is the answer to 3^x= 1/8 ?

The answer to 3^x= 1/8 is x=-(3ln(2))/(ln(3))

Solve for x: 3^x= 1/8

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

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3^{x} = \frac{1}{8}

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

Solution steps

3^{x} = \frac{1}{8}

Apply exponent rules

x ln (3) = ln (\frac{1}{8})

Solve

x ln (3) = ln (\frac{1}{8}) : x = - \frac{3 ln ( 2 )}{ln ( 3 )}

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

e^{20 \cdot l n (x)} = e^{- 3}

e^{2 x - 3} = 37

8 = 6^{x + 4}

e^{(- 0.2 t)} = 25

5^{2 x - 1} = 7^{x - 5}