## aceace 2 years ago Logarithm Question!!!

1. zordoloom

What's the question?

2. aceace

\[\log_{4}0.125 \] ... evaluate without a calculator

3. zordoloom

Oh, that's simple. Do you know how to do base change?

4. aceace

no base change allowed

5. zordoloom

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

6. zordoloom

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

7. zepdrix

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?

8. zordoloom

Oh, sorry, I didn't notice the no calculator allowed. Okay....

9. aceace

i got it though.... i'll show you the method and tell me if its right

10. aceace

\[-\log_{4} 8\] then \[-(\log_{4}2 + \log_{4}4)\] then -(0.5 +1) then -1.5

11. zepdrix

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

12. geerky42

0.125 = 1/8 and let \(x = \log_4\dfrac{1}{8}\) Convert it to exponent form, then find x

13. zepdrix

Yah that was the other way c: hehe Either way though!

14. geerky42

Yeah, just saying.