# Question #8d9f9

##### 1 Answer

May 8, 2017

# x=6/5 #

#### Explanation:

We have:

# 25^(2x) = 125^(3x-2) #

Taking logarithms we have:

# log(25^(2x)) = log(125^(3x-2)) #

We will use some properties of logarithms we have:

# log (a^b) = bloga #

Applying we get:

# 2xlog25 = (3x-2)log125 #

# :. 2xlog5^2 = (3x-2)log5^3 #

# :. 4xlog5 = 3(3x-2)log5 #

# :. 4x = 3(3x-2) #

# :. 4x = 9x - 6 #

# :. 5x=6 #

# :. x=6/5 #