SOLUTION: 4^x=3^(x+6) find the solution x=?

Algebra.Com
Question 979804: 4^x=3^(x+6)
find the solution
x=?

Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!


Take logs of both side:



Move the exponents in front of the logs as factors:



Let log(4) = A and log(3)=B















Get your calculator and get:



Note: you could have used natural logs (ln) as well as common logs (log),
and gotten the same answer.

Edwin

RELATED QUESTIONS

Given the equation and solution, find the missing coefficient. x + 4 = 6x + 7... (answered by lynnlo)
find solution for x 4(x/4 + 6)=2x (answered by tommyt3rd)
Find the solution for 4 6/20 x 6... (answered by ewatrrr,rfer)
x2-x-6/x2-4=x-3/x-2 how do I get the... (answered by vleith)
What is the solution to... (answered by praseena)
{{{(x/(x-2))=(x/(x-3))}}} find the exact... (answered by TutorDelphia)
find the solution to log2... (answered by nerdybill)
Find the exact solution:... (answered by solver91311)
Find the solution -3x+3y=4... (answered by mananth)