Mathematics
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OpenStudy (anonymous):
log(base3)3+log(base3)x=5
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OpenStudy (anonymous):
@dpaInc
OpenStudy (anonymous):
since the logs on the left are of the same base, can you rewrite that left side as one log base 3?
OpenStudy (anonymous):
you'll use this property:
log_b (M) + log_b (N) = log_b (M*N)
OpenStudy (anonymous):
need help?
OpenStudy (anonymous):
Yes, im sorry my brain is a little jumbled
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OpenStudy (anonymous):
sawright...:)
OpenStudy (anonymous):
log_b (M) + log_b (N) = log_b (M*N)
log_3 (3) + log_3 (x) = log_3 ( )
what do you think should go in the parenthesiss
OpenStudy (anonymous):
The 5
OpenStudy (anonymous):
no... try again... forget about that right side for now... we're just working on the left.
OpenStudy (anonymous):
On no its the 3 and x so its 3x =)
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OpenStudy (anonymous):
yes...
OpenStudy (anonymous):
so we have:
log_3 (3x) = 5
correct?
OpenStudy (anonymous):
Yes =) So we would divide noth sides by log-3
OpenStudy (anonymous):
no....
OpenStudy (anonymous):
do you know how to rewrite this logarithm expression in it's exponential form?:
log_3 (3x) = 5
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OpenStudy (anonymous):
Yes =) the base is -3 and the exponent is 5. So it would be -3^5=3x??
OpenStudy (anonymous):
yes... btw, the base is positive 3. the line you see before that is just an underscore to denote the base.
OpenStudy (anonymous):
so
3^5 = 3x
OpenStudy (anonymous):
you're almost done.. what do you need to do to get x by itself?
OpenStudy (anonymous):
Divide by 3 on both sides, and I got 81 =)
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OpenStudy (anonymous):
yep... ;)
OpenStudy (anonymous):
Oh yay! =) Thanks a ton!
OpenStudy (anonymous):
your good at these!!!
nice work swimgirly...