Question

Solve for x:

log^(5x+9)(x^(2)+6x+9) + log^(x+3) (5x^(2)+24x+27)=4

Answer 1

\[\log_{5x+9}(x^{2}+6x+9)+\log_{x+3} (5x ^{2}+24x+27)=4 \]

Answer 2

Use the product rule to get log_bM+log_bN for the first half right? .....so that would be log(5x+9)+log(x^2) ... right? Im new at this

Answer 3

I think so i'm not sure

Answer 4

yeah cause if you simplify too soon it will be a mess lol

Answer 5

so i would set m=log(5x+9)
n=log(x+3) for example?

Answer 6

the (5x+9)(x^2) is being multiplied together right?
just clarifying

Answer 7

ya

Answer 8

okay, neato! ... so, yes start with the product rule to