log(base3)(x-4)+log(base2)(x+4)=2

I don't know how to solve this when the logs have different bases. As I understand they have to be the same?

Question

log(base3)(x-4)+log(base2)(x+4)=2

I don't know how to solve this when the logs have different bases. As I understand they have to be the same?

jtvatsim · Answer

have you been taught the base conversion formula?

$$\log_a{x} = \frac{\ln{x}}{\ln{a}}$$

anonymous · Answer

Yes very vaguely though. We are behind in the semester so we rushed through this section and I have 10 pages of notes but no clue what to do

jtvatsim · Answer

ok, i'm still working on the problem myself... it's not obvious. :)

anonymous · Answer

okay I will tell you what I think it might be too

anonymous · Answer

ya I have no IDEA at all....
I was thinking it could work with the condensing formula but thats not the case

jtvatsim · Answer

there's another conversion formula for any base I'm looking into that right now

jtvatsim · Answer

anonymous · Answer

is that a foreign language?? Lol I have no idea how to convert that to my problem.

jtvatsim · Answer

maybe, I just click on the show solution link below each question to see the answers steps

anonymous · Answer

okay, I will look more into that question. I have a few others Im going to post.

jtvatsim · Answer

kk