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## rudedawg 3 years ago having trouble figuring out how to solve this. e^(x-5)=(1/e^4)^(x+2)

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1. GOODMAN

Try taking the ln of each side so you can get the exponents down.

2. rudedawg

so we have (x-5)ln e=(x+2)ln (1/4e^4) after this what is our next step?

3. TuringTest

you have to be careful in simplification here$(x^a)^b=x^{ab}$and$\frac1{x^a}=x^{-a}$so$\large (\frac1{e^4})^{x+2}=(e^{-4})^{x+2}=e^{-4(x+2)}$now try with the log...

4. rudedawg

just got it. thx. mental block

5. rudedawg

-3/5?

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