Question

Solve 5^y=4^y+3

Answer 1

\[5^{y}=4^{y+3}\]

Answer 2

log both sides

Answer 3

drop the powers in front

Answer 4

Is the answer 18.64?

Answer 5

Store your solution in your calculator and sub it back in to see if your equations are still true. I would not use a rounded solution

Answer 6

\[\ln (5^y) = \ln (4^{y+2})\]\[y(\ln5) = y(\ln4) +2\ln4\]\[y(\ln5) - y(\ln4) =2\ln4\]\[y(\ln5-\ln4) = 2\ln4\]\[y(\ln(5/4)) = 2\ln4\]\[y = (2\ln4)/(\ln(5/4))\]

Answer 7

y=18.6377?

Answer 8

..nope