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

Question

anonymous · Answer

attachment

anonymous · Answer

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

anonymous · Answer

i ws tryna draw an arrow

anonymous · Answer

forst in black then failed then in blue and failed

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

i think so a 10?

anonymous · Answer

Cheeto, try to log both sides to bring the exponents

anonymous · Answer

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

anonymous · Answer

I think kropot is cooking a better explanation...

kropot72 · Answer

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

anonymous · Answer

thank you guys i got it

kropot72 · Answer

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

anonymous · Answer

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

kropot72 · Answer

I'll try!