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Mathematics 22 Online
OpenStudy (aripotta):

logarithms? help please

OpenStudy (aripotta):

no idea how to even start solving this... :/

OpenStudy (mathstudent55):

Write the entire right side as single log.

OpenStudy (aripotta):

log2(a + b - c)??

OpenStudy (mathstudent55):

No. The sum of logs is a product. The difference of logs is a division.

OpenStudy (aripotta):

ab/c?

OpenStudy (mathstudent55):

\(\log a + \log b = \log (ab)\) \(\log a - \log b = \log \dfrac{a}{b} \)

OpenStudy (mathstudent55):

Correct.

OpenStudy (aripotta):

ooh so x = ab/c?

OpenStudy (mathstudent55):

\(\log_2 x = \log_2 a + \log_2 b - \log_2 c\) By writing a single log ion the right side, you get: \(\log_2 x = \log_2 \dfrac{ab}{c} \) Now there is a rule: If \(\log_b x = \log_b y\), then \(x = y\). In your case, then, \(x = \dfrac{ab}{c} \)

OpenStudy (mathstudent55):

You are correct.

OpenStudy (aripotta):

thank you for the help :_

OpenStudy (aripotta):

oops :) *

OpenStudy (mathstudent55):

You're welcome.

OpenStudy (isaiah.feynman):

Oh I missed out. :(

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