# How to take logs of an equation?

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Q: Take logs of both sides:

#T=2 pi sqrt frac{l}{g}#

My incomplete attempt at answering:

#log(T)=log(2pi sqrt frac {l}{g})#

#log(T)=log(2)+log(pi)+log(sqrtl)-log(sqrtg)#

I'm not sure if this is correct and I'm not sure how to remove the square roots.

Ultimately I'm trying to rearrange into the form #y=mx+c# so that I can input the gradient and intercept from a graph.

Q: Take logs of both sides:

My incomplete attempt at answering:

I'm not sure if this is correct and I'm not sure how to remove the square roots.

Ultimately I'm trying to rearrange into the form

##### 1 Answer

Please see below.

#### Explanation:

As

**...............(A)**

Now as

Also if we are using SI system of units

and while

Hence **(A)** becomes

or

and here gradient is

So now it is in form

Now you can draw a graph between

and then intercept should be

What if

Observe that intercept

so once you get intercept

and

i.e.