Question

(I know its another log question, im obviously not very good at these ha) evaluate the expression: log8(subscript)64^7.

Answer 1

\[\log_ab^c = c\log_ab \] and \[log_xx^2 = 2 \]

Answer 2

ans is 1/14

Answer 3

how to write these mathematical expressions

Answer 4

By clicking equation (fun fact: it's not 1/14)

Answer 5

so would it be 7log8? since 64/8 is 8?

Answer 6

logx(subscript) \[x ^{m}\] then answer is 1/m sorry guys i'm not good at typing mathematical equations

Answer 7

and i'm sure it ans is 1/14

Answer 8

\[\log_864^7 \not= \frac{1}{14} \]

Answer 9

was i correct? possibly? maybe? ha

Answer 10

if m is the power to subscript then it comes as 1/m before log

Answer 11

hey inewton \[(64)^{7}\]
is subscript

Answer 12

No it isn't, because that makes no sense.

Answer 13

the 8 is the subscript

Answer 14

the 64 is the base, and the 7 is the superscript

Answer 15

ans is 1/14. question is \[\log_{64^{7}} \]8

Answer 16

i mean log8 (subcript)\[64^{7}\]

Answer 17

the question is
\[\log_864^7 = 7\log_864 \]

Answer 18

ok, thank you very much

Answer 19

But log_8 64 simplifies further

Answer 20

it simplifies to just 8, right?

Answer 21

No
\[\log_ab = c \iff a^c = b\]

So log_8 64 = 2 because 8^2 = 64

Answer 22

ohhh, ok. thank you! sorry it took so long!

Answer 23

You're welcome