Question

If logx(1/8) = -3 / 4, than what is x?

Answer 1

Answer:

x=16

Step-by-step explanation:

$logx\frac{1}{8} =-\frac{3}{4}$

$\frac{1}{8} =x^{\frac{-3}{4} }$

$\frac{1}{8} =\frac{1}{x^{\frac{3}{4} } }$

$x^{\frac{3}{4} } =8$

$(x^{\frac{3}{4})^{\frac{4}{3} } =8^{\frac{4}{3} }$

$x=(2^{3} )^{\frac{4}{3} }$

$x=2^{4}$

$x=16$

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