Question

Given F(x) = log8 x, find F(64).

Answer 1

is this\[f(x)=\log_8x\]??

Answer 2

yes just need to find f(64)

Answer 3

no idea how to find\[F(64)=\log_8(64)\]???

Remember that 'log base b of x' is asking\[b^{(?)}=x\]so here we want to know\[8^{(?)}=64\]i.e. 8 to what power equals 64?

Answer 4

im not sure i have a whole test like this

Answer 5

Well you need to understand logarithms or else you are going to have trouble.

what is \[8^2=?\]

Answer 6

this is the problem. Given F(x) = log8 x, find F(64).
1/2
2
8

Answer 7

can you please answer my question?\[8^2=?\]

Answer 8

64

Answer 9

right, and\[\log_8(64)\]is asking
" 8 to what power equals 64?"

and what power did we raise 8 to to get 64 ?

Answer 10

2

Answer 11

so there's you answer :-)

Answer 12

\[\log_8(64)=2\]means\[8^2=64\]that is the meaning of a logarithm.

In general\[\log_ba=x\]means\[b^x=a\]