# Prove that #2(log_10 5-1)=log_10 (1/4)#?

##### 2 Answers

#### Explanation:

Lets start off by evaluating

According to the properties of logarithmic function,

Hence

Another property for logarithmic function is **if and only if M = N**

As this equation shows,

**not** equal to each other.

Yes,

#### Explanation:

Before we seek prove the identity, let us recall a few logarithmic relations.

As from this we have

=

=

=

=

=

As **we do not write the base, when using** **as base,**

we have