SOLUTION: Consider the equation log(3x-1)=(log_2)8. Explain why 3x-1 is not equal to 8. Describe the steps you would take to solve the equation, and state what 3x-1 is equal to.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Consider the equation log(3x-1)=(log_2)8. Explain why 3x-1 is not equal to 8. Describe the steps you would take to solve the equation, and state what 3x-1 is equal to.      Log On


   

Question 970484: Consider the equation log(3x-1)=(log_2)8. Explain why 3x-1 is not equal to 8. Describe the steps you would take to solve the equation, and state what 3x-1 is equal to.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Consider the equation log(3x-1)=(log_2)8. Explain why 3x-1 is not equal to 8. Describe the steps you would take to solve the equation, and state what 3x-1 is equal to.
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log(3x-1) is base 10
If you mean log%282%2C8%29 that's a different base, base 2.
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You might recognize that log%282%2C8%29+=+log%282%2C2%5E3%29+=+3
If not, use the base change log%282%2C8%29+=+log%288%29%2Flog%282%29+=+3
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Either way, log(3x-1) = 3
log(3x-1) = log(10^3) = log(1000)
3x-1 = 1000
x = 1001/3