Solve log125 x 29 25 10 3 square root 25 square root 125 No

Solve: log_125 x = 2/9 25 10 3 square root 25 square root 125 None of the above

Solution

log₁₂₅x =2/9

by properties of logarithams if log_ba =c then a =b^c

x =125^2/9

x =(5³)^2/9

by law of exponents (a^m)ⁿ=a^mn

x =5^3*2/9

x =5^2/3

x=(5²)^1/3

x=25^1/3

x=³25

option C