Question

5^x=4^x+1
becomes
(x)ln5=(x+1)ln4
....where do I go from here?

Answer 1

(ln5/ln4)=(x+1/x)?

Answer 2

(ln5/ln4)=(x+1/x)?

Answer 3

distribute the right side

Answer 4

remember that ln(4) is just a nuumber

Answer 5

still having trouble.
ln5/ln4 is 1.1609=(x+1/x)

Answer 6

so you have,
xln(5) = xln(4) + ln(4)

Answer 7

x ln(5) - xln(4) = ln(4)
x [ln(5) - ln(4)] = ln(4)
ln(4)
x = ---------------
ln(5) - ln(4)

Answer 8

that was just what I needed. Thanks a lot!!