Question

3. Evaluate: Log4 1/64

Answer 1

Do you mean:
\[\log_{4} (\frac{ 1 }{ 64 })\]

Answer 2

Yes exactly

Answer 3

What I do to solve problems like this is set them equal to x and then use the logarithm rules and exponential rules to help solve. So:
\[\log_{4} (\frac{ 1 }{ 64 })=x\]
Now we can say that:
\[\frac{ 1 }{ 64 }=4 ^{x}\]
Now just change 1/64 so it has a base of 4 and you have your answer. Let me know if you want me to post the answer.

Answer 4

log4 64=1 ? @Directrix can you help?

Answer 5

Picking up on the previous poster's work:

Now just change 1/64 so it has a base of 4 and you have your answer. Let me know if you want me to post the answer.