SOLUTION: solve the log equation log8 5- log8 (x-3)=1 would we set up the equation like this: 5x-3=1 or just 5x=1

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: solve the log equation log8 5- log8 (x-3)=1 would we set up the equation like this: 5x-3=1 or just 5x=1      Log On


   

Question 1082307: solve the log equation
log8 5- log8 (x-3)=1
would we set up the equation like this: 5x-3=1 or just 5x=1
Found 4 solutions by Alan3354, josgarithmetic, MathTherapy, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve the log equation
log8 5- log8 (x-3)=1
------------
log%288%2C5%2A%28x-3%29%29+=+1
{{log(8,5*(x-3)) = log(8,8)}}}
5*(x-3) = 8
x-3 = 8/5
x = 23/5

Answer by josgarithmetic(39625) About Me  (Show Source):
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log%288%2C5%29-log%288%2C%28x-3%29%29=1

What does the property, log%28b%2Ca%29%2Blog%28b%2Cc%29=log%28b%2Cac%29 tell you?
What does the property, log%28b%2Ca%29-log%28b%2Cc%29=log%28b%2C%28a%2Fc%29%29 tell you?

What will the two equivalent equation forms, log%28b%2Cr%29=p <====> b%5Ep=r allow you to do?

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

solve the log equation
log8 5- log8 (x-3)=1
would we set up the equation like this: 5x-3=1 or just 5x=1
log+%288%2C+%285%29%29+-+log+%288%2C+%28x+-+3%29%29+=+1

log+%288%2C+%285%2F%28x+-+3%29%29%29+=+1

5%2F%28x+-+3%29+=+8%5E1

8(x - 3) = 5 ------ Cross-multiplying

8x - 24 = 5

8x = 5 + 24

highlight_green%28matrix%281%2C5%2C+x%2C+%22=%22%2C+29%2F8%2C+or%2C+3.625%29%29

Answer by ikleyn(52856) About Me  (Show Source):
You can put this solution on YOUR website!
.
The correct solution is of "MathTherapy".