SOLUTION: Hello I am solving some textbook questions and I'm not sure how to solve one of them. Please help. log4x=1/2 (the 4 is a small 4) Where appropriate, include the approximation

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hello I am solving some textbook questions and I'm not sure how to solve one of them. Please help. log4x=1/2 (the 4 is a small 4) Where appropriate, include the approximation      Log On


   

Question 22798: Hello I am solving some textbook questions and I'm not sure how to solve one of them. Please help.
log4x=1/2 (the 4 is a small 4) Where appropriate, include the approximations to the nearest thousandth.
Thanx a mil.
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Your equation is lg%5B4%5Dx=1%2F2
So the first step is changing it into exponential form
You should get:
4%5E%281%2F2%29=x
An exponent to the 1%2F2 is just another way to write sqrt%284%29
sqrt%284%29=2
You don't need to round because it comes out flat!
Hope this helps!