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Mathematics 15 Online
OpenStudy (anonymous):

5^(x + 5) = 9^x solve choices attached

OpenStudy (anonymous):

OpenStudy (anonymous):

I don't get any of those multiple choices !!... what have you erased ??

OpenStudy (anonymous):

i ws tryna draw an arrow

OpenStudy (anonymous):

forst in black then failed then in blue and failed

OpenStudy (anonymous):

i just need to get that equation into log format or something

OpenStudy (anonymous):

Hey there, yes, you do need to put it into LOG

OpenStudy (anonymous):

So, what do you need to do to bring down the exponent x?

OpenStudy (anonymous):

i think so a 10?

OpenStudy (anonymous):

Cheeto, try to log both sides to bring the exponents

OpenStudy (anonymous):

If you were to log both sides, it would turn out as: 5LOG(x + 5) = 9LOGx

OpenStudy (anonymous):

I think kropot is cooking a better explanation...

OpenStudy (kropot72):

\[5^{(x+5)}=9^{x}\] \[5^{x} \times 5^{5}=9^{x}\] \[5^{5}=(9\div5)^{x}\] Taking logs to base e of both sides: \[\ln 5^{5}=x(\ln 9-\ln 5)\] \[x=(5\times \ln 5)\div(\ln 9-\ln 5)\]

OpenStudy (anonymous):

thank you guys i got it

OpenStudy (kropot72):

You're welcome. The correct choice is of course 13.69.

OpenStudy (anonymous):

yes i got that now can you help me log format one more?

OpenStudy (kropot72):

I'll try!

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