5^x-1=2^3x-1
(x-1)ln 5 = (3x-1) ln 3
= 1.60943791x - 1.60943791 = 3.29583687x- 1.09861229
1.68639895x = - 0.510825624
x = -0.317393806
im not to sure how far i should be going to solve the equation, am i supposed to find out what x is. if so this is what i have come up with
Question: 5^x-1=2^3x-1 give answer to 3s.f
Workings
log5 ^ 23x-1=x-1
3x-1log5^2=x-1
log5^2=x-1/3x-1
1.4=x-1/3x-1
1.4(3x-1)=x-1
4.2x-1.4=x-1
3.2x-1.4=-1
3.2x=0.4
x=0.4/3.2
x=0.125
3.s.f= 0.13
i know somewhere i have gone really wrong, but not quite sure where. any tips?