Astudent solved log4(2x – 12) = 3, as shown. step 1: 2x – 12 = 34 step 2: 2x – 12 = 81 step 4: 2x = 93 step 5: x = 46.5 explain the error and find the correct solution.(you will not receive "brainliest" if answer isnt fully explained or correct. i will report absurd answer every time.

1-When you have a the logarithm given in the problem above, you can solve it by using the correct properties for logaritms.
 2- The students could solve it as below:
 log4(2x-12)=3
 4^[ log4(2x-12)]=4^3
 3- By definition a^log(x)=x, therefore,
 2x-12=4^3
 2x-12=64
 4- Now, the students can solve for x:
 x=38
  The first step is incorrect, because the term on the right member must be 4^3.

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