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

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Answer 1 · 2016-08-31T13:37:29

$2^10=1024$

$log_a b=n$ in exponential form is written as $a^n=b$ .

Hence, $log_2 1024=10$ can be written in exponential form as

$2^10=1024$

Answer 2 · 2016-08-31T14:42:20

$2^10 = 1024$

So $log_2 1024 = 10$

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.

$2^10 = 1024$

So $log_2 1024 = 10$

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