Question

Logarithmic Funtion

Answer 1

\[\log_{2} (\frac{ 1 }{ 8 })\]

Answer 2

write 1/8 as \(\huge 2^{-3}\)

Answer 3

Okay and then what

Answer 4

Oh then the answer is -3

Answer 5

yabsolutely :)

Answer 6

\[\log_{3} \sqrt{27}\]

Answer 7

I think same idea right?

Answer 8

yup, how can u write 27 ?

Answer 9

But I forget how to break that up

Answer 10

27^1/2 ?

Answer 11

27 = 3*3*3 = 3^3
and \(\sqrt a= a^{(1/2)}\)
so
\(\sqrt{27}=27^{1/2}=3^{3/2}\)

Answer 12

did u get that last step ? 3^(3/2) ?

Answer 13

I kind of do but could you be more clear on that last step?

Answer 14

u were correct with \(\sqrt{27}=27^{1/2}\)
now \(\sqrt{27}=(3^3)^{1/2}=3^{3/2}\)

Answer 15

ohh yea I get it haha

Answer 16

okay so 3/2

Answer 17

great
yes :)

Answer 18

Now I am having trouble with the derivatives of logarithmic functions

Answer 19

ask your question on a new post ....

Answer 20

okay