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hello whoever you are ,,,, i j need to check a question, in math, "determine the value of 9 log_24 2 + log_24 27" my answer is 3 but i'm not 100% sure if it's correct

Answer :

Given:

[tex]\log _{24}2+\log _{24}27[/tex]

Sol:.

Use log property then:

[tex]\log _xab=\log _xa+\log _xb[/tex]

So:

[tex]\begin{gathered} =\log _{24}2+\log _{24}27 \\ =\log _{24}(27\times2) \\ =\log _{24}54 \\ =1.255 \end{gathered}[/tex]

So the value is 1.255

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