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Mathematics 15 Online
OpenStudy (katherinesmith):

Write 1 – 3log5x as a single logarithm.

OpenStudy (katherinesmith):

\[1 - 3\log _{5}x\]

OpenStudy (anonymous):

what is 1 in log5 form?

OpenStudy (katherinesmith):

i'm not sure

OpenStudy (luigi0210):

Here, think of it this way: \[\log_{5}x=1\] \[5^1=x\]

OpenStudy (katherinesmith):

so 5?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

now add \[\log_{5}5 - 3\log_{5}x\]

OpenStudy (anonymous):

subtract sorry

OpenStudy (katherinesmith):

a little help please

OpenStudy (anonymous):

help please @Luigi0210

OpenStudy (luigi0210):

Okay, now change that second log, do remember this rule: \[{\huge ylog_{k}x=\log_{k}x^y }\]

OpenStudy (katherinesmith):

okay...

OpenStudy (anonymous):

\[\log_{5} 5 -\log_{5} x ^{3}\]

OpenStudy (anonymous):

subtraction is division, right? |dw:1377732866434:dw|

OpenStudy (anonymous):

I am not sure.

OpenStudy (katherinesmith):

i really have no idea what to do.

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