Expand the logarithmic expression. log7(n/5)

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Expand the logarithmic expression. log7(n/5)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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quotient rule\[\large\rm log_b y - \log_b x = \log_b \frac{ x }{ y}\] to condense you can change subtraction to division product rule \[\large\rm log_b x + \log_b y = \log_b( x \times y )\] addition ----> multiplication power rule \[\large\rm log_b x^y = y \log_b x\]
\[\huge\rm log_7 \frac{ n }{ 5}\]which property you should apply ?
quotient rule

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yes!
yep right btw 7 is base right ?
yes 7 is the base
alright
so how would you expand that ?
log7(5)-log5(n)
hmm log5(n) ??
oh, i meant 7
we need to have the same base value... 99% sure that's a typo
right :=)
it was a typo, thanks to both of you!
pleasure.
I think it's backwards though. with the quotient rule wouldn't it be \[\log_7(n)-\log_7(5)\]
are you sure? 5 was the denominator
ohh yeah i thought n is the denominator
-_- I saw log7(5)-log7(n) that's 5/n not n/5
nvm arnv my bad i typed that wrong in the properties
oh, don't worry about it, thank you guys again!
thanks! i'll write it correctly
\(\color{blue}{\text{Originally Posted by}}\) @Nnesha quotient rule\[\large\rm log_b y - \log_b x = \log_b \frac{ x }{ y}\] to condense you can change subtraction to division product rule \[\large\rm log_b x + \log_b y = \log_b( x \times y )\] addition ----> multiplication power rule \[\large\rm log_b x^y = y \log_b x\] \(\color{blue}{\text{End of Quote}}\) correction quotient rule\[\large\rm log_b x - \log_b y = \log_b \frac{ x }{ y}\] to condense you can change subtraction to division product rule \[\large\rm log_b x + \log_b y = \log_b( x \times y )\] addition ----> multiplication power rule \[\large\rm log_b x^y = y \log_b x\]
looks right ;)

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