Question

Which expression is equivalent to log2(9x3)

Answers can be:


log2(9)+3log2(x)
log2(x)+3log2(9)
3log2(x)-log2(9)
3log2(9)-log2(x)

Answer 1

Is the question \[\log_{2} (9\times3)\]

Answer 2

or
\(\log_{2} (9x^3)\)?

Answer 3

I agree based on answers probably what you typed @mathmate

Answer 4

MrBee , you should use the equation editor, because it's not clear what equation you are typing in.

Answer 5

or if you type in ^ for the power
9x^3

Answer 6

use the laws of logarithms
log ab = log a + log b
log a^b = b log a

Answer 7

log2(9x^3) using the first rule
= log2(9) + log2(x^3)

Answer 8

now apply the above second law to log2(x^3) and you'll get the answer

Answer 9

- that is the law log a^b = b log a

Answer 10

in our case a = x and b = 3

Answer 11

just plug those values in