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

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

Question 1018395: Hi,
I'm having trouble understanding this problem:

Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
log (6,4) = log (6, (x-1)) - log (6,5)
-----
Note: logs are exponents. When you add them you are multiplying.
When you subtract them you are dividing.
-----------------------------------------------
log6(4) = log6(x-1) - log6(5)
--------
log6(4) = log6[(x-1)/5]
--------------------------------
4 = (x-1)/5
------
x-1 = 20
x = 21
-------------
Cheers,
Stan H.
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