Question

Simplify:

Answer 1

\[\log_{1 / 2 } 8\]

Answer 2

log( base 1/2) 8 = x <=>
(1/2)^x = 8
1/(2^x) = 8
2^x = 1/8
1/(2^(-x)) = 1/8
2^(-x) = 8
log(base 2)2^(-x) = log(base 2)8
-x*log(base 2)2 = 3 (because 2^3 = 2*2*2 = 8)
-x = 3 (because log(base 2)2 =1, because 2^1=2)
x = -3

Answer 3

Same thing

1/2^x = 8
x = -3

Answer 4

so the x becomes the exponent thank you!! :-) @MathFan12 @kevinzhengli