Question 1043284
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Write the following equation in its equivalent logarithmic form.

3√8 = 2
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This equation is wrong.


This equality is FALSE.



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<U>comment from student</U>: Hi, Can you explain why it is false? I have 4 choices to choose from and none are true/false. 
A. Log2 3 = 1/8 B. Log8 2 = 1/3 C. Log2 8 = 1/2 D. Log3 2 = 1/8 
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<U>My responce</U>.  Sure, I can. 


Because {{{3sqrt(8)}}} is not equal to 2, and never was equal, and never will be equal.


Look into the equation you posted originally.



And now you answer me: do you read what you post?



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<U>Comment from student</U>: Yes, I do read what I post. This is a question I got wrong on a quiz, but I didn't understand 
why I did, which is why I asked here. To get some understanding. That is the equation that was given and in the above response 
I included the possible answers to see if any were right. So if you're saying there is no possible 
answer I need to send a note to the teacher.
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<U>My response</U>: OK, now I know what is the problem.


The correct writing of this equation is  {{{root(3,8)}}} = 2. 


Then its equivalent logarithmic form is {{{log(8,2)}}} = {{{1/3}}}, option B.


You mistakenly posted this equation in the form  {{{3sqrt(8)}}} = 2,
which is far from the correct form  {{{root(3,8)}}} = 2.
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With it, I'd like to stop this discussion and do not continue it more.