Logarithm Question!!!

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Logarithm Question!!!

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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What's the question?
\[\log_{4}0.125 \] ... evaluate without a calculator
Oh, that's simple. Do you know how to do base change?

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Other answers:

no base change allowed
You divide (log(0.125)/(log(4))
There is really no other way to enter it in a calculator
So the log equals some unknown quantity, let's call it x. \[\large \log_{4} 0.125=x\] Do you know how to rewrite this as an exponential?
Oh, sorry, I didn't notice the no calculator allowed. Okay....
i got it though.... i'll show you the method and tell me if its right
\[-\log_{4} 8\] then \[-(\log_{4}2 + \log_{4}4)\] then -(0.5 +1) then -1.5
Hmm yah I suppose that works! :) That's a little different than how I would have done it. But it get's you familiar with log rules, so that's good :D
0.125 = 1/8 and let \(x = \log_4\dfrac{1}{8}\) Convert it to exponent form, then find x
Yah that was the other way c: hehe Either way though!
Yeah, just saying.

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