# How do you solve #log_10 7=log_10 x-log_10 2#?

##### 1 Answer

#### Explanation:

For two logarithms of the same base,

Using the Quotient Law,

So,

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ABR May I suggest another approach:

Logs are indices in another form as such adding indices is another representation of multiplication. Like wise, subtraction is another representation of division. Consequently:

It is given that

( it does not matter a bout what the base is in this context)

Thus

From this it is a simple matter of manipulation to find