Determine the value of each of the following logarithmic expressions. Do not change bases.

Question

A) log8 4 <----- 8 is subscript

b)log 1/3 27 <---- 1/3 is subscript

Answer 1

let x = log₈ 4
8^x = 4
(2^3)^x = 2^2
2^(3x) = 2^2
3x=2
x = 2/3

do the 2nd the same way, let me know what you got

Answer 2

log(27) / log(1/3)
log(3^3) / log(3^-1)
3 log(3)/-1 log(3)
-3