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Mathematics 18 Online
OpenStudy (hdrager):

use the properties of logarithms to evaluate the following

OpenStudy (hdrager):

\[\log_{2}(\sqrt{2} )^5\]

OpenStudy (unklerhaukus):

\[\log_b x^n=n\log_b x\]

OpenStudy (unklerhaukus):

\[\sqrt x = x^{1/2}\]

OpenStudy (unklerhaukus):

\[\log_bb=1\]

OpenStudy (hdrager):

I'm confused as to how they all apply together at once

OpenStudy (hdrager):

should I apply those in that order?

OpenStudy (unklerhaukus):

you can start a in few ways,

OpenStudy (hdrager):

okay I have\[\frac{ 5 }{ 2 }\log_{2} 2\]

OpenStudy (unklerhaukus):

yes that is correct, now use \(\log_bb=1\)

OpenStudy (hdrager):

so \[\log_{2}2=1 \]

OpenStudy (unklerhaukus):

yes!

OpenStudy (hdrager):

sweet thanks for helping me!

OpenStudy (hdrager):

i was so stumped

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