Question

If Logx (1 / 8) = - 3 / 2, then x is equal to
A. - 4
B. 4
C. 1 / 4
D. 10

Answer 1

SOLUTION ☺️

Option [B]✓

Use the change of bases rule.

Remember logx a= log a/log x

=) log x(1/8)= -3/2

=) log(x) = log(1/8)/(-3/2)

=) log(x) = log(1/8)×(-2/3)

Raise both sides upon the base 10:

=) 10^log(x)= 10^{log(1/8)×(-2/3)}

=) x= 10^{log(1/8)×(-2/3)}

=) x= {10^log(1/8)}^(-2/3)

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

=)x= 8^(2/3)

=) x= (8^2)^(1/3)

=)x= 64^ (1/3)

=)x= 4 [answer]

hope it helps ✔️❤️

Answer 2

Hoi mate here's your answer

B.4

hoped it helped you

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