# What is the exponential form of #log_b 35=3#?

##### 1 Answer

Jun 7, 2018

#### Answer:

#### Explanation:

Lets start with some variables

If we have a relation between

If we apply log both sides we get

Which turns out to be

Npw divding both sides by

We get

**[Note: if logb=0 (b=1) it would be incorrect to divide both sides by #logb#... so #log_1 alpha# isn't defined for #alpha!=1#]**

Which gives us

Now comparing this general equation with the one given to us...

And so, we again get it in form

Here