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If log_6 (4x)=2, find log_x 27. Express your answer in simplest fractional form.

 Mar 30, 2020
 #1
avatar+2152 
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log_6(4x)=2 will be equal to 6^(4x)=2

 

This will get you that 6^(1/3)=2, so x=1/12

 

Now you can find log_x 27 :D

 Mar 30, 2020
 #2
avatar+4599 
0

@CalTheGreat, it should be 6^2=4x, 4x=36, x=9

 

log_9 27, change everything into powers of three.

 

The answer should be 3/2.

 Mar 30, 2020

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