Question

Expand log(subscript 2) 7x^3/y

Answer 1

\(\bf log_2\left(\cfrac{7x^3}{y} \right)\) ?

Answer 2

\(\bf \large \frac{log_2({7x^3})}{y}\) ?

Answer 3

I'm sorry your first equation was correct.

Answer 4

http://www.chilimath.com/algebra/advanced/log/images/rules%20of%20exponents.gif

look ^ at the rule 2

Answer 5

I have \[\log_{2}7x^3\log_{2}y \]

Answer 6

I am subtracting.
Is there a way to simplify?

Answer 7

look at rule 1 :)

Answer 8

$$\bf
log_2\left(\color{blue}{\frac{7x^3}{y}} \right)\\
\implies log_2(\color{blue}{7x^3})-log_2(y)\\
log_2(7)+log_2(\color{blue}{x^3})-log_2(y)\\
log_2(7)+3log_2(x)-log_2(y)\\
$$

Answer 9

after rul 1, then rule 3 in the picture :)

Answer 10

haha
I'm beginning to see the answer :)

Answer 11

well, that's the answer, it's just expanded

Answer 12

. \[\log_{2}7+3\log_{2}(x)-\log_{2}(y) \]

Answer 13

:)

Answer 14

I dont think that can be simplified any further :D
I have 1 more problem but i dont see how it follows the rules of exponents.

Answer 15

ok