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.
:
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(2^3) - log(x^5) + log(48)}}}
{{{log(8) - log(x^5) + log(48)}}}
subtraction is the same as divide
{{{log(8/(x^5)) + log(48)}}}
Addition is the same as multiply
{{{log((48*8)/(x^5))}}} = {{{log((384)/(x^5))}}}