Question

evaluate each expression: Logs. Click 2 see.

Answer 1

\[\log _{\sqrt{8}}4096\]

Answer 2

is that sqrt{8} or {3}

Answer 3

8

Answer 4

\[\huge \log _{\sqrt{8}}{4096}=\log_{8^{1/2} }4096\]
use change of base rule\[\huge \log _ba=\frac{\log a}{\log b}\]

Answer 5

okay . and then simplify that ?

Answer 6

yes

Answer 7

okay then?

Answer 8

you mean take 4096 and divide it by 8^1/2 ?

Answer 9

yes but both preceded by log

Answer 10

4096=64^2
\[\huge \frac{\log 4096}{\log 8^{1/2}}\]

Answer 11

i got 4 ?

Answer 12

@Jonask

Answer 13

\[\huge \frac{4\log 8}{\log 8}=4\]

Answer 14

yes

Answer 15

but the back of my book has the answer as: 8 ?

Answer 16

i forgot the half also it is supposed to be dropped\[\huge \frac{4 \log 8}{1/2\log 8}=4\div{1/2}=8\]

Answer 17

OH okay . thanks :)

Answer 18

yw