Solving a Logarithmic Equation: Log(5) X = 1/2Log(5) 25

[Corkery]

Homework Statement

solve:Log(subscript 5) X = 1/2log(subscript 5) 25

Homework Equations

3. The Attempt at a Solution [/
Log(subscript 5) X = 1/2log(subscript 5) 25
--------------- ---------------------
Log(subscript 5) Log(subscript 5)


Then they cancel out and I got X = 1/2Log(subscript 5) 25
-----------------------
Log(subscript 5)

That's what I got but I'm not sure if its right. Please help

It looks weird but i hope you understand what I'm trying to show you.

 

[siddharthmishra19]

It doesn't work that way!

$$log_5 x = (1/2)(log_5 25)$$
$$log_5 x = (1/2) 2$$
$$log_5 x = 1$$

Please learn the basics and stuff... it will help!

 

[HallsofIvy]

I would have done it a slightly different way:
$$log_5(X)= \frac{1}{2}log_5(25)$$
$$log_5(X)= log_5(25^{\frac{1}{2}})$$
$$log_5(X)= log_5(5)$$
Now it should be easy to see what X is.

 

[Corkery]

It doesn't work that way!

$$log_5 x = (1/2)(log_5 25)$$
$$log_5 x = (1/2) 2$$
$$log_5 x = 1$$

Please learn the basics and stuff... it will help!

Learn the basics yourself, you got it wrong! jk

 

[HallsofIvy]

It doesn't work that way!

$$log_5 x = (1/2)(log_5 25)$$
$$log_5 x = (1/2) 2$$
$$log_5 x = 1$$

Please learn the basics and stuff... it will help!

Learn the basics yourself, you got it wrong! jk

No, while his statement about learning the basics is a little harsh (though true), his calculation is exactly correct. log₅(25)= 2 so (1/2)log₅(25)= 1. log₅(x)= 1 so x= 1.

You may need to review yourself!

 

[Corkery]

No, while his statement about learning the basics is a little harsh (though true), his calculation is exactly correct. log₅(25)= 2 so (1/2)log₅(25)= 1. log₅(x)= 1 so x= 1.

You may need to review yourself!

well in that case I am really sorry! But its not like i meant it in a hatefl way. Sorry once again.

 

[HallsofIvy]

I didn't think you did. But be careful, in the future, about telling someone else he is wrong. Especially without explaining exactly HOW it is wrong!

I've started, many times, to tell someone he was wrong, and while writing out exactly WHY he was wrong said "oops" and kept my mouth shut!

 

[drpizza]

I didn't think you did. But be careful, in the future, about telling someone else he is wrong. Especially without explaining exactly HOW it is wrong!

I've started, many times, to tell someone he was wrong, and while writing out exactly WHY he was wrong said "oops" and kept my mouth shut!

Speaking of "oops", I'm sure you meant x=5 (as you had a couple posts before.)