SOLUTION: Solve the following a) log(base 10)(4x-1) - log(base 10)(x/5) = 1 Can you please help me out? Thanks so much in advance Can you also show me the steps it would really help me un

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the following a) log(base 10)(4x-1) - log(base 10)(x/5) = 1 Can you please help me out? Thanks so much in advance Can you also show me the steps it would really help me un      Log On


   

Question 749678: Solve the following
a) log(base 10)(4x-1) - log(base 10)(x/5) = 1
Can you please help me out? Thanks so much in advance
Can you also show me the steps it would really help me understand better:)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
log%2810%2C%284x-1%29%29-log%2810%2C%28x%2F5%29%29=1
log%2810%2C%284x-1%29%2F%28x%2F5%29%29=1
Switch to exponent form
10%5E1=%284x-1%29%2F%28x%2F5%29
10=%284x-1%29%2F%28x%2F5%29
10%28x%2F5%29=4x-1
2x=4x-1
0=2x-1
1=2x
highlight%28x=1%29