SOLUTION: Write the following equation in its equivalent logarithmic form. 3√8 = 2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write the following equation in its equivalent logarithmic form. 3√8 = 2       Log On


   



Question 1043284: Write the following equation in its equivalent logarithmic form.
3√8 = 2

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
Write the following equation in its equivalent logarithmic form.
3√8 = 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

This equation is wrong.

This equality is FALSE.


-------------
comment from student: 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
-------------


My responce. Sure, I can.

Because 3sqrt%288%29 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?


-------------------------------------
Comment from student: 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.
-------------------------------------


My response: OK, now I know what is the problem.

The correct writing of this equation is root%283%2C8%29 = 2.

Then its equivalent logarithmic form is log%288%2C2%29 = 1%2F3, option B.

You mistakenly posted this equation in the form 3sqrt%288%29 = 2,
which is far from the correct form root%283%2C8%29 = 2.
============================

With it, I'd like to stop this discussion and do not continue it more.