SOLUTION: Solve this equation. 7^6x-5=49^4x+10

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve this equation. 7^6x-5=49^4x+10      Log On


   

Question 80043: Solve this equation.
7^6x-5=49^4x+10
Answer by ryanman(19) About Me  (Show Source):
You can put this solution on YOUR website!
7%5E%286x-5%29=7%5E%282%284x%2B10%29%29
7%5E%286x-5%29=7%5E%288x%2B20%29
TAKE LOG FOR BOTH SIDES
+%286x-5%29Log7=%288x%2B20%29Log7
CANCEL OUT THE LOG7
ull be left with
6x-5=8x+20
now solve normally and ull get
-25=2x
so x=-12.5