# Thread: Very simple but still...

1. Hi, I'm really struggling with this question.

2^(square root of x) = 8

I know that x, just by quickly looking at the equation is, is 9. However, I've no idea how I can solve this equation; showing that x = 9.

2.

3. Originally Posted by IAlexN
Hi, I'm really struggling with this question.

2^(square root of x) = 8

I know that x, just by quickly looking at the equation is, is 9. However, I've no idea how I can solve this equation; showing that x = 9.

4. Thank you for you reply DrRocket. However is there any other way to solve the equation, without using logarithm. Because, I haven't started to study logarithm yet.

5. this is the approach my maths teacher tells the ordinary or the standard mathematics level students in our year level.

same base thereby;

square to both sides to eliminate the ;

i cannot think of any other way than this.

6. Originally Posted by Heinsbergrelatz
this is the approach my maths teacher tells the ordinary or the standard mathematics level students in our year level.

same base therby;

square to both sides to eliminate the ;

i cannot think of any other way than this.
That works. You have implicitly used the logarithm base 2, but that is perfectly OK.

Originally Posted by DrRocket
That works. You have implicitly used the logarithm base 2, but that is perfectly OK.
However, just out of curiosity what does logarithm base 2 actually mean?

9. Originally Posted by IAlexN

Originally Posted by DrRocket
That works. You have implicitly used the logarithm base 2, but that is perfectly OK.
However, just out of curiosity what does logarithm base 2 actually mean?
is a way to rewrite . Logarithm base 2 just sets up a function to determine what is at some y. It isolates x in the equation in a solvable way.

10. Originally Posted by Arcane_Mathematician
Originally Posted by IAlexN

Originally Posted by DrRocket
That works. You have implicitly used the logarithm base 2, but that is perfectly OK.
However, just out of curiosity what does logarithm base 2 actually mean?
is a way to rewrite . Logarithm base 2 just sets up a function to determine what is at some y. It isolates x in the equation in a solvable way.
precisely

11. Originally Posted by IAlexN