## anonymous 4 years ago Solve. $7^{x-4} = 7 ^{4x+7}$

1. myininaya

just set the exponents equal and solve for x x-4=4x+7

2. anonymous

i get -11/3 and thats not one of the choices.

3. myininaya

Subtract x on both sides -4=3x+7 Subtract 7 on both sides -11=3x and divide by 3 on both sides -11/3=x I agree with you answer Is it perhaps written in decimal form or as a mix fraction?

4. myininaya

$x=-\frac{3(3)+2}{3}=-(\frac{3(3)}{3}+\frac{2}{3})=-(3+\frac{2}{3})=-3\frac {2}{3}$

5. anonymous

the answers are A: x = -4, B: x=2/3, C:x=-12/5, D: x=4

6. myininaya

The question is correct, right?

7. anonymous

it is $-\frac{11}{3}$ for sure

8. myininaya

yep unless the problem is wrong