SOLUTION: how do i reduce this: 3log base 5 of 2-(5log base 5 of x+log base 5 of 48) ? email address: dianasalerno0ooo@yahoo.com please show all steps so i can understand how to solve this

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: how do i reduce this: 3log base 5 of 2-(5log base 5 of x+log base 5 of 48) ? email address: dianasalerno0ooo@yahoo.com please show all steps so i can understand how to solve this       Log On


   



Question 271531: how do i reduce this: 3log base 5 of 2-(5log base 5 of x+log base 5 of 48) ? email address: dianasalerno0ooo@yahoo.com please show all steps so i can understand how to solve this problem. thank you.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
how do i reduce this: 3log base 5 of 2-(5log base 5 of x+log base 5 of 48) ? email address: dianasalerno0ooo@yahoo.com please show all steps so i can understand how to solve this problem. thank you.
:
All have the base of 5, so we can ignore that for this:
3*log(2) - 5*log(x) + log(48)
:
Write the multipliers as expnonets
log%282%5E3%29+-+log%28x%5E5%29+%2B+log%2848%29
log%288%29+-+log%28x%5E5%29+%2B+log%2848%29
subtraction is the same as divide
log%288%2F%28x%5E5%29%29+%2B+log%2848%29
Addition is the same as multiply
log%28%2848%2A8%29%2F%28x%5E5%29%29 = log%28%28384%29%2F%28x%5E5%29%29