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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?

no base change allowed

You divide (log(0.125)/(log(4))

There is really no other way to enter it in a calculator

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

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.