logarithims

[long wagon]

What does Log do to a fraction ?

$Log(\frac{a}{b}) = Log(a)-Log(b)$

[viscid saddle]

Daddy_314

[long wagon]

Exactly

Well you do agree that Log(T) = Log(10x^2) - Log(zy)

To begin with

Now let us remember another thing

What does Log do to a multiplication ?

$Log(ab) = Log(a) + Log(b)$

[viscid saddle]

Daddy_314

[long wagon]

So what can be said about Log(10x^2) ?

Yes

But we can do even more

$Log(x^2) = Log(x \times x) = Log(x) + Log(x) = 2 Log(x)$

[viscid saddle]

Daddy_314

[long wagon]

This is also called Logs power rule

Why

Well your teacher said

$Log(a^b) = b Log(a)$

[viscid saddle]

Daddy_314

[long wagon]

And so $Log(x^2) = 2Log(x)$

[viscid saddle]

Daddy_314

[long wagon]

I just applied another property to find the same result

Why I do this is because it's better to memorize as few rules as possible

Not as many

Log is base 10 in general

And Ln is base e

What you just said here worries me

Coz it comes out of nowhere and doenst make sense

Let us stick to

Simplicity

[long wagon]

So from here

We get
= Log(10) + 2 Log(x) - ....

I let you continue

Keep the Log(10) for now we will talk about it later

There are no tricks here

Just applying the rules we just saw

The best way to learn is by doing

And making mistakes

[cyan canopy]

.close

[neat zealot]

Solved

Post marked as solved by @cyan canopy.

Use .unsolved if this was a mistake.

[cyan canopy]

user was banned