Question

Write this expression has a single logrithim:
5 log base 7 of x - 2 log base 7 of x

Answer 1

\[5 \log_{7}x-2\log_{7}x \]

Answer 2

do you know the properties of logs and utilizing them?

Answer 3

first you might wanna use the power rule..it states that

\( \LARGE a log_b x = log_b x^a\)

Answer 4

log to base 7 of x is a common factor. Therefore to solve take out the common factor.

Answer 5

this is the quotient property

Answer 6

then you use the quotient law :P

Answer 7

Could you give me an example?

Answer 8

quotient law:

\(\LARGE \log_a b - log_a c = \log_a (\frac{b}{c})\)

Answer 9

\[\log_{7} (x^5/x^2)\]

Answer 10

Am i headed in the right direction?

Answer 11

not just headed...you got it! :DDD \(\Huge \color{red}{\checkmark}\)

Answer 12

oh wait...there's still one last step...

Answer 13

you still need to simplify the argument (the number inside the parenthesis) @amy_renae1994