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\[f(x)=\log _{4}(x+2) AND g(x)=\log_{4}(2x-5), please find f(x)=g(x)\]

use the fact that if log A =logB then A =B
can you find an equation in 'x' using that ?

If log a = log b then a = b

f(x)=g(x)
implies x+2=2x-5
x=7

for any base, (base of 4 doesn't matter here)

Well, the answer is {7}, (log4(9))

I honestly have no idea how to solve that out, it's review and I can't find it in my notes.

can you clearly post your question ? a screenshot will be wonderful....

you can change but that wouldn`t do any good......
a = e ^ (ln a) (basic property of log)

ok, did you get how x=7 ?
now just put x=7 in any one of f(x) or g(x)

Yeah, it makes x=7. So to get the log4(9), you just put it into one of the equations?

correct, put in any one of f(x) or g(x)

and you'll get log4(9) part of your answer.

Thank you! (:

welcome ^_^