SOLUTION: Hi, I'm having trouble understanding this problem: {{{log (6,4) = log (6, (x-1)) - log (6,5) }}} Thank you!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi, I'm having trouble understanding this problem: {{{log (6,4) = log (6, (x-1)) - log (6,5) }}} Thank you!      Log On


   

Question 1018395: Hi,
I'm having trouble understanding this problem:
log+%286%2C4%29+=+log+%286%2C+%28x-1%29%29+-+log+%286%2C5%29+
Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log (6,4) = log (6, (x-1)) - log (6,5)
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Note: logs are exponents. When you add them you are multiplying.
When you subtract them you are dividing.
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log6(4) = log6(x-1) - log6(5)
--------
log6(4) = log6[(x-1)/5]
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4 = (x-1)/5
------
x-1 = 20
x = 21
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Cheers,
Stan H.