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If log_6 (4x)=2, find log_x 243. Express your answer in simplest fractional form.

 Apr 28, 2021
 #1
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In  exponential form, the  first log  can  be expressed   as

 

6^2  =  4x

 

36  = 4x

 

36/4  = x   = 9

 

log 9  243  = m   ...in exponential  form is  :

 

9m  = 243      rewrite  as

 

(3^2)m  = 3^5

 

32m  = 35    the bases are the same....equate exponents

 

2m  = 5

 

m  = 5 / 2    =  log 9 243

 

 

cool cool cool

 Apr 28, 2021

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