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Mathematics 15 Online
OpenStudy (anonymous):

log5(2) - log5(7)

OpenStudy (unklerhaukus):

\[\boxed{\log_b x-\log_by=\log_b\frac xy}\]

OpenStudy (anonymous):

oh i see. let me plug them in.

OpenStudy (anonymous):

log5(2/7) ?

OpenStudy (unklerhaukus):

Thats right, now you might want to change the base, \[\boxed{\log_b x=\dfrac{\log_c x}{ \log_c b}}\]

OpenStudy (unklerhaukus):

if your calculator can take logs to base 10 or logs to base e, the choose c=10 , or c=e

OpenStudy (anonymous):

ahh i'm not sure how to do that :/

OpenStudy (unklerhaukus):

What exactly was the original question?

OpenStudy (anonymous):

you actually already helped me answer it. but i have another question

OpenStudy (unklerhaukus):

ok

OpenStudy (anonymous):

what if I was adding: log5(2) + log5(7)

OpenStudy (anonymous):

would I then multiply 2 and 7?

OpenStudy (unklerhaukus):

exactly; \[\large\boxed{\log_b x+\log_by=\log_bxy}\]

OpenStudy (anonymous):

I see. one more question!

OpenStudy (anonymous):

log8(25)

OpenStudy (anonymous):

is that equal to 2log8(1/5) ?

OpenStudy (unklerhaukus):

\[\log_8(25)=\log_8(5^2) \] now use \[\large\boxed{\log_bx^n=n\log_b x}\]

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