Practice!

Sample Problem

Solve 5(32x+1)-19=6. Round your answer to three decimal places.

x=

Solution

5(32x+1)-19=6

5(32x+1)=25

32x+1=5

log(32x+1)=log 5

(2x+1)log 3=log 5

2x+1=log 5/log 3

2x=(log 5/log 3)-1

x=[(log 5/log 3)-1]/2=0.232