I don't if I'm right for these two questions i just need a check if I'm right,if I'm wrong please show me how to get that answer.

Rewrite the following exponential functions as logarithmic functions

a)f(x)=9^x

ans:f(x) Log^-1(xlog(9))

b)f(x)=(7/8)^x

ans:log^-1(x(log 7 - log 8)

i don't know if I'm right for the answer,so i just need to know and if I'm wrong prove please show me how to be right.

6 answers

Yes, but count brackets. I try to use different ones

log^-1[ x(log 7 - log 8) ]
Okay i was wondering because some people told me the answer is log(f(x))=2xlog(3)
For a)
well
9^x = 3^(2x)
so log^-1 (2 x log 3)
is a perfectly good answer. So is Log^-1(xlog(9))

They are the same :)
So i guess my answer is acceptable right :)
I think your answer is fine. So is the 3^2 = 9 one.
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