SOLUTION: Solve the following equations: a)2^3x-1=1/128 b) ln(4x-3)=1

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve the following equations: a)2^3x-1=1/128 b) ln(4x-3)=1      Log On


   

Question 41575: Solve the following equations:
a)2^3x-1=1/128 b) ln(4x-3)=1
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
a)2^3x-1=1/128
2%5E%283x%29+-+1+=+1%2F128
2%5E%283x%29+=+129%2F128
log%282%5E%283x%29%29+=+log%28129%2F128%29
3x%2Alog%282%29+=+log%28129%2F128%29
x+=+log%28129%2F128%29%2F%283%2Alog%282%29%29
x+=+0.003742418
b) ln(4x-3)=1
ln%284x+-+3%29+=+1
log%28e%2C4x+-+3%29+=+1
4x+-+3+=+e%5E1
x+=+e%2F4+%2B+3%2F4
x+=+1.429570457