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Mathematics 18 Online
OpenStudy (anonymous):

Help please? Solve: (RESPONSE)

OpenStudy (anonymous):

\[\log_{4}3x+\log_{4}2=\log_{4}24\]

OpenStudy (anonymous):

when you add logarithms of the same base, you can simplify those terms by combining their arguments to get:\[\log_{4} 3x+\log_{4}2 = \log_{4}6x \]now you can solve 6x =24 so x=4

OpenStudy (anonymous):

Thanks nothingmaster! :)

OpenStudy (anonymous):

No problem! To make that clear, when you add logs with the same base, you multiply the arguments together, when you subtract them you divide.

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