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How do i solve log6(25)-log6(5)

1 Answer

4 votes
There's nothing there to solve. But you can simplify the expression.

-- The difference of two logs is the log of the quotient.

log₆(25) - log₆(5)

= log₆(25/5) = log₆(5) .

That may be all you can do with it.
If they want you to go ahead and actually find the value of log₆(5) ...
I don't remember how to do that. If it was log₁₀(5) or ln(5) ,
those would be easy, because they're right on your calculator.
But the log to the base of (anything else other than 10 or 'e') takes
an additional step, which I don't remember.
User Mark Horvath
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