Question 81530
It looks right so far!!


5^x = 4^x+1 

so far I got: 
ln5^x = ln4^x+1
(x)ln5 = (x+1)ln4
(x)ln5 = (x)ln4 + ln4 


Now, you have to get all the x terms on one side, by subtracting (x) ln4 from each side:
(x) ln5 - (x) ln4= ln4


Factor out the x:
x(ln5-ln4) = ln 4


Divide both sides by (ln5-ln4):
{{{(x(ln5-ln4))/((ln5-ln4))= (ln4)/((ln5-ln4)) }}}


This calculates to : x = 6.2126


If you are using a graphing calculator to calculate this, be sure you know where to put parentheses in the calculator to make it do what it needs to do.


R^2 at SCC