Question

expand log(sqrt of x) and then log(a^2b)

Answer 1

1.) log (sqrt (x)) = log x^(1/2) = 1/2 log(x)
2.) log (a^(2b)) = 2b log (a)

Answer 2

yup

Answer 3

what is 2?

Answer 4

a^ ?

Answer 5

what 2?

Answer 6

i cant read what was written for number 2 it doesnt make sense

Answer 7

a^(2b)

isnt that what you were asking for in the question?

Answer 8

ya is that written as a to the 2b?

Answer 9

yes it is. were you asking for log(a^2*b)?

Answer 10

yes

Answer 11

that would be log (a^2) + log (b) = 2log(a) = log(b)

Answer 12

that should be 2log(a) + log(b)*

Answer 13

lol so i need to rewrite the whole thing im confused. how does it look showin work

Answer 14

is it log(a^(2b))??

Answer 15

is it log(a^(2b))??

Answer 16

is it log(a^(2b))??

Answer 17

is it log(a^(2b))??

Answer 18

it is log (a^2*b) = log (a^2) + log (b)

from the multiplication rule

= 2 log(a) + log(b)

from the exponent rule

Answer 19

Or you can just use the multiplication rule entirely:

\[log(a^2b) \]\[= log(a\cdot a \cdot b) \]\[= log(a) + log(a) + log(b)\]\[=2log(a) + log(b)\]