Question 754806: solve for x
3^(x-7)=14^(2x)
write the exact answer using base-10 logarithms Found 2 solutions by Alan3354, tommyt3rd:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! solve for x
3^(x-7)=14^(2x)
solve for x
(x-7)*log(3) = 2x*log(14)
x*log(3) - 7log(3) = 2x*log(14)
xlog(3) - 2x*log(14) = 7log(3)
x*(log(3) - 2log(14)) = 7log(3)
--------------
also, x = ln(2187)/ln(3/196) or logs to any matching bases
