SOLUTION: Log2x =3 find x

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Question 1160628: Log2x =3 find x
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
.

From your post, I can not understand what is written in the post


    Log base 2 (x)   or  log base 10 (2x).

Use parentheses, or explain in words.


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Comment from student: Sorry its log base 2
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My response : 

So we have

    log%282%2C%28x%29%29 = 3.


By the definition of logarithms, it means that

    x = 2%5E3 = 8.


ANSWER.  x = 2%5E3 = 8.

Solved, answered, explained and completed.

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On logarithms and their properties,  see these introductory lessons
    - WHAT IS the logarithm
    - Properties of the logarithm
    - Change of Base Formula for logarithms
    - Evaluate logarithms without using a calculator
    - Simplifying expressions with logarithms
    - Solving logarithmic equations
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Logarithms".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.