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Tatiana [17]
3 years ago
8

If Log x (1 / 8) = - 3 / 2, then x is equal to. A. - 4 B. 4 C. 1 / 4 D: 0

Mathematics
1 answer:
Softa [21]3 years ago
5 0

log_{x}(1/8)=-3/2

This is equal to...

x^{-3/2}=1/8

We want "x" so we need to isolate it using laws of exponents...

x^{(-1)(3/2)}=1/8

x^{3/2}=8 because x^{-a}=1/x^{a}

x=\sqrt[3]{8^{2}} because x^{a/b}=\sqrt[b]{x^{a}}

x = 4

answer: B

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