algebra 2 problem

Question

(2/5)^x = (8/125 I need to simplify and solve this equation

Answer 1

Log both sides of the equation.

 

log(2/5)^x = log (8 / 125)

 

 

Bring the x down as the coefficient of the log.

 

xlog(2 / 5) = log(8 / 125)

 

 

Divide both sides of the equation by log(2 / 5).

 

x = log(8 /125) / log(2 / 5)

Answer 2

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

(2/5)^x=(2/5)^3 because 2^3=8 and 5^3=125

if the bases are equal, then the exponents are equal

x=3