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VagueBest ResponseYou've already chosen the best response.0
\[f(x)=\log _{4}(x+2) AND g(x)=\log_{4}(2x5), please find f(x)=g(x)\]
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
use the fact that if log A =logB then A =B can you find an equation in 'x' using that ?
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.0
If log a = log b then a = b
 one year ago

Joseph91Best ResponseYou've already chosen the best response.0
f(x)=g(x) implies x+2=2x5 x=7
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
for any base, (base of 4 doesn't matter here)
 one year ago

VagueBest ResponseYou've already chosen the best response.0
Well, the answer is {7}, (log4(9))
 one year ago

VagueBest ResponseYou've already chosen the best response.0
I honestly have no idea how to solve that out, it's review and I can't find it in my notes.
 one year ago

harsimran_hs4Best ResponseYou've already chosen the best response.0
for any log expressions with same base to be equal e.g log a = log b be it any base a = b for you just have to simply work out a linear equation
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
can you clearly post your question ? a screenshot will be wonderful....
 one year ago

VagueBest ResponseYou've already chosen the best response.0
Solve the problem. 1 2 ) f(x) = log4(x + 2) and g(x) = log4( 2 x  5) . Solve f(x) = g(x). 1 2 ) A) {7} , (7, log4(7) ) B) {7} , (7, log4(9) ) C) {7} , (7, log4(2) ) D) No solution. A n s w e r : B
 one year ago

VagueBest ResponseYou've already chosen the best response.0
It's the best I can do, sorry. And when you solve it as a linear equation, would you change it to exponencial form, or can you not do that?
 one year ago

harsimran_hs4Best ResponseYou've already chosen the best response.0
you can change but that wouldn`t do any good...... a = e ^ (ln a) (basic property of log)
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
ok, did you get how x=7 ? now just put x=7 in any one of f(x) or g(x)
 one year ago

VagueBest ResponseYou've already chosen the best response.0
I didn't get x=7, our teacher gave us the answers and I don't know how she got any of them. I'd really like to see someone solve the equation so I can see what you guys are talking about. ;P I tried doing it and got 7/2
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
if log A =logB then A =B \(f(x)=g(x) \implies \log_4 (x+2)=\log_4(2x5) \\ \implies x+2 = 2x5\) can you solve this linear equation ????
 one year ago

VagueBest ResponseYou've already chosen the best response.0
Yeah, it makes x=7. So to get the log4(9), you just put it into one of the equations?
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
correct, put in any one of f(x) or g(x)
 one year ago

hartnnBest ResponseYou've already chosen the best response.2
and you'll get log4(9) part of your answer.
 one year ago
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