SOLUTION: Solve the following equation by using properties of logarithms: log5(3)-log5(5x)=2 answer choices are: A. x= -(3)(125) B. x= (3)(125) C. x= (1)(3) D. x= (4)(75)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the following equation by using properties of logarithms: log5(3)-log5(5x)=2 answer choices are: A. x= -(3)(125) B. x= (3)(125) C. x= (1)(3) D. x= (4)(75)      Log On


   

Question 696578: Solve the following equation by using properties of logarithms:
log5(3)-log5(5x)=2
answer choices are:
A. x= -(3)(125) B. x= (3)(125) C. x= (1)(3) D. x= (4)(75)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%285%2C3%29-log%285%2C5x%29=2...in base 10 will be

log%283%29%2Flog%285%29-log%285x%29%2Flog%285%29=2

%28log%283%29-log%285x%29%29%2Flog%285%29=2

%28log%283%29-log%285x%29%29=2log%285%29

log%283%2F5x%29=log%285%5E2%29

3%2F5x=5%5E2

3%2F5x=25

3=25%2A5x

3=125x

3%2F125=x

answer: B. x=+3%2F125