OpenStudy (anonymous):

Question in comments, Please help..

OpenStudy (anonymous):

What is the slope of the line through the points (−6,−4) and (−3,−6)

OpenStudy (anonymous):

Write the expression as a sum or difference of multiples of logarithms. Assume that all variable represent positive numbers.\[\log _{4}(\frac{ x ^{2} }{ y })\]

OpenStudy (anonymous):

@jose_orellana ?

OpenStudy (anonymous):

?

OpenStudy (anonymous):

this is what i think the answer is \[\log _{4}x+\log _{4}x-\log _{4}7\]

OpenStudy (anonymous):

jose why are u asking questions on my question?

OpenStudy (anonymous):

i think it is \[\log_{4} x-\log_{4} \]

OpenStudy (anonymous):

sorry *log 4y for

OpenStudy (anonymous):

ya i meant to type that, just a typo

OpenStudy (anonymous):

i need to write the answer with no exponents on the variable

OpenStudy (anonymous):

right okay well in that case it would be \[2\log_{4} x-\log_{4} y\]

OpenStudy (anonymous):

then how do i get the "x^2"?

OpenStudy (anonymous):

ohh i see

OpenStudy (anonymous):

the the 2 in the x^2 was put in front of the log because of the log rules

OpenStudy (anonymous):

heres a helpful website that can help you http://www.rapidtables.com/math/algebra/Logarithm.htm scroll a little and you should see a log rule table

OpenStudy (anonymous):

i can bring the coefficient to the exponent of the variable

OpenStudy (anonymous):

okay thx

OpenStudy (anonymous):

:3