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 #
