# How do you write #Log_2 1024 = 10 # in exponential form?

##### 2 Answers

Aug 31, 2016

#### Explanation:

Hence,

Aug 31, 2016

So

#### Explanation:

log form and exponential (or index) form are interchangeable.

Simply remember:

"The base stays the base, and the other two swop around"

#log_color(red)(a) color(blue)(b)= color(lime)(c) hArr color(red)(a)^color(lime)(c) = color(blue)(b)# What is

#log_2 1024 # ?

In log form the question being asked is ...

**"What index/power of 2 will give 1024?"**

It is a real advantage to know all the powers up to 1000.

So