Find the value of x 125/8x(125/8)^x=(5/2)¹^8​

is 5

= 125/8*(125/8)^x=(5/2)^18

= (5/2)³*[(5/2)^3]^x=(5/2)^18

= (a^m)^n=a^mn

= (5/2)^3*(5/2)^3x=(5/2)^18

a^m*a^n=a^m+n

=(5/2)^3+3x=(5/2)^18

as bases are equal exponents are equal

=3+3x=18

=3x=15

x=15/3

x=5