# How do you solve this logarithmic equation? #3log_(5)x-log_(5)(5x)=3-log_(5)25#

##### 1 Answer

Jan 8, 2017

#### Explanation:

Put all logarithms to one side:

#3log_5 x - log_5 (5x) + log_5 25 = 3#

#log_5 x^3 - log_5 (5x) + 2 = 3#

#log_5 x^3 - log_5 5x = 1#

#log_5((x^3)/(5x)) = 1#

#x^2/5 = 5^1#

#x^2 = 25#

#x = +- 5#

The

Hopefully this helps!