A community for students.
Here's the question you clicked on:
 0 viewing

This Question is Closed

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

Hero
 2 years ago
Best 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

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1359086666173:dw

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.0this is what i'm getting, but it is wrong

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.0wait, we're we sipposed to take the log of both sides?

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

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

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1The last two lines, either form, is what you want.

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

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.0yeah i know but im getting a weird answer idk why .

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

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1You did not isolate x properly bro.

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Take a look at your second to last step.

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.0ohhh, i figured it. i flipped it

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.0got it ! thanks man :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.