SOLUTION: Write the expression LOGa(y+5)+2LOGa(x=1) as one logarithm.

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Write the expression LOGa(y+5)+2LOGa(x=1) as one logarithm.      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 82643This question is from textbook
: Write the expression LOGa(y+5)+2LOGa(x=1) as one logarithm.This question is from textbook

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(57219) About Me  (Show Source):
You can put this solution on YOUR website!
Write the expression LOGa(y+5)+2LOGa(x+1) as one logarithm
loga[(y+5)(x+1)^2]
==============
Cheers,
Stan H.

Answer by jim_thompson5910(28476) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression

Use the identity to move the 2 to the exponent

Foil %28x%2B1%29%5E2

Combine the logs using this identity

Multiply the terms out