SOLUTION: 10^3x-1 = 9 (Estimate the answer rounded to 3 decimal places) Thus far I've come up with: Log(base 10) of 9 = 3x-1 and then I'm stumped

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 10^3x-1 = 9 (Estimate the answer rounded to 3 decimal places) Thus far I've come up with: Log(base 10) of 9 = 3x-1 and then I'm stumped      Log On


   

Question 167606: 10^3x-1 = 9 (Estimate the answer rounded to 3 decimal places)
Thus far I've come up with:
Log(base 10) of 9 = 3x-1 and then I'm stumped
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Don't stop there.
3x-1=log%2810%2C9%29
3x=1%2Blog%2810%2C9%29
x=%281%2Blog%2810%2C9%29%29%2F3
From a calculator,
log%2810%2C9%29=0.95424
x=%281.95424%29%2F3
x=0.651
.
.
.
Check the answer.
10%5E%283x-1%29+=+9
10%5E%283%280.651%29-1%29+=+9
10%5E%28.953%29+=+9
8.974=9
Close enough since we rounded off.