SOLUTION: Solve the equation 4^(7x – 2) = 17^(x + 1). Round your answer to the nearest thousandth. I cant get the right answer for this.. I know you have to make the equation into 7x-2

Algebra ->  Test -> SOLUTION: Solve the equation 4^(7x – 2) = 17^(x + 1). Round your answer to the nearest thousandth. I cant get the right answer for this.. I know you have to make the equation into 7x-2       Log On


   

Question 326314: Solve the equation 4^(7x – 2) = 17^(x + 1). Round your answer to the nearest thousandth.
I cant get the right answer for this..
I know you have to make the equation into 7x-2 log4= x+1 log17 but I'm not sure what to after
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%287x-2%29+=+17%5E%28x+%2B+1%29
7x-2=log%284%2C%2817%5E%28x%2B1%29%29%29
Change bases.
7x-2=log%2817%2C%2817%5E%28x%2B1%29%29%29%2Flog%2817%2C%284%29%29
7x-2=%28x%2B1%29%2Flog%2817%2C%284%29%29
%287x-2%29log%2817%2C%284%29%29=x%2B1}
7%2Alog%2817%2C%284%29%29x-2log%2817%2C%284%29%29=x%2B1
%287%2Alog%2817%2C%284%29%29-1%29x=1%2B2log%2817%2C%284%29%29
highlight%28x=%282log%2817%2C%284%29%29%2B1%29%2F%287%2Alog%2817%2C%284%29%29-1%29%29
x=0.816