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burhan101 Group TitleBest ResponseYou've already chosen the best response.0
\[\huge (5)(8)^{(x+2)} = 5^{7x}\]
 one year ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
\[5 \dot\ 8^{x+2} = 5^{7x} \\ 5 \dot\ 8^x 8^2 = \left(5{^7}\right)^x \\5 \dot\ 8^2 = \frac{\left(5{^7}\right)^x}{8^x} \\5 \dot\ 64 = \left(\frac{5^7}{8}\right)^x \\320 = \left(\frac{5^7}{8}\right)^x \] Take logs of both sides and finish simplifying
 one year ago

burhan101 Group TitleBest ResponseYou've already chosen the best response.0
dw:1359086666173:dw
 one year ago

burhan101 Group TitleBest ResponseYou've already chosen the best response.0
this is what i'm getting, but it is wrong
 one year ago

burhan101 Group TitleBest ResponseYou've already chosen the best response.0
wait, we're we sipposed to take the log of both sides?
 one year ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
\[\ln(320) = \ln\left(\left(\frac{5^7}{8}\right)^x\right) \\\ln(320) = x \ln\left(\frac{5^7}{8}\right) \\\frac{\ln(320)}{\ln\left(\frac{5^7}{8}\right)} = x \\\frac{\ln(320)}{\ln5^7  \ln2^3} = x \\\frac{\ln(320)}{7\ln5  3\ln2} = x\]
 one year ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
Uh, ya....logs of both sides. What you do to one side, you do to the other side.
 one year ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
The last two lines, either form, is what you want.
 one year ago

burhan101 Group TitleBest ResponseYou've already chosen the best response.0
okay thanks !
 one year ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
By the way, don't forget that you are isolating x bro. Don't confuse the numerator and the denominator.
 one year ago

burhan101 Group TitleBest ResponseYou've already chosen the best response.0
yeah i know but im getting a weird answer idk why .
 one year ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
You should have gotten what I got above. And if you're approximating, you should get x ≈ 0.628
 one year ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
You did not isolate x properly bro.
 one year ago

Hero Group TitleBest ResponseYou've already chosen the best response.1
Take a look at your second to last step.
 one year ago

burhan101 Group TitleBest ResponseYou've already chosen the best response.0
ohhh, i figured it. i flipped it
 one year ago

burhan101 Group TitleBest ResponseYou've already chosen the best response.0
got it ! thanks man :)
 one year ago
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