Question

Solve 7^(x - 2) = 12^x

Answer 1

Gotta use log...

Answer 2

i know that much, but the thing is I got the answer, x = 3.28, and not the right answer of -7.22, if you could just give me the step by step process that would be great

Answer 3

Okay:)

Answer 4

ok so here's what I did, just instruct me on what i did wrong

Answer 5

7^(x-2)=12^(x)

ln(7^(x-2))=ln(12^(x))

xln(7)-2ln(7)=ln(12^(x))

xln(7)-2ln(7)-xln(12)=0

x(ln(7)-ln(12))=2ln(7)

x=(2ln(7))/(ln(7)-ln(12))

x=3.8918

Answer 6

\[(x-2)(\log(7)) =(x) \log(12) \]

Answer 7

\[(x-2) (.8450984) = x(1.079181246)\]

Answer 8

Uh hu...The sooner you turn it into a decimal the faster it gets farther from an exact answer. Just sayin. I think you did it correctly just rounding got the best of you!

Answer 9

I"m not really rounding, I'm just putting out what the calc it putting out

Answer 10

it's worked for all the other ones

Answer 11

Well the calculator is rounding lol.

Answer 12

yeah i guess the calc rounds

Answer 13

lol

Answer 14

Thanks though! I get it now

Answer 15

Good:)