How do you calculate log_2 4 - log_4 2?

1 Answer
Aug 1, 2016

log_(2)4-log_(4)2 = 2-1/2 = 3/2

Explanation:

When I write log_(a)b = c, in effect I ask to what power do I raise the base a to get b.

By this definition, if log_(a)b = c, then a^(c)=b.

Typically we use "logs" to the base 10 or the base e.

Can you tell me what is log_(10)100+log_(10)1000 ?