Question

Consider the following.
log4(x)
(a) Rewrite the logarithm

Answer 1

hi

Answer 2

Recall that
\[log_4x =k \iff 4^k = x\]
How are you wanting it written?

Answer 3

2?

Answer 4

any way

Answer 5

is x rite?

Answer 6

What? I don't even understand what you're looking for here...

Answer 7

Consider the following.
log4(x)
(a) Rewrite the logarithm

Answer 8

i got anotehr problem similar to this one, look

Answer 9

Rewrite it how?

Answer 10

log8(x)
(a) Rewrite the logarithm as a ratio of common logarithms

Answer 11

Oh, sure.

Answer 12

So what base do you want to use?

Answer 13

Common bases are 10 or e.

Answer 14

answer is log10(x/log10)(8)

Answer 15

So you want to use 10 for the base?

Answer 16

yeah

Answer 17

Ok, so remember what I said..

\[log_4(x) = k \iff 4^k = x\]
If \[4^k = x\]Then
\[log_{10}(4^k) \ log_{10}(x)\]\[\implies k\cdot log_{10}(4) = log_{10}(x)\]\[\implies k = {log_{10}(x)\over log_{10}(4)}\]
But since \(k = log_4(x)\) We have:
\[log_4(x) = {log_{10}(x)\over log_{10}(4)}\]

Answer 18

Log10(x)/log10(4) is your final answer?

Answer 19

Log10(x)/log10(4) is your final answer?