Question

Use the properties of logarithms to match the condensed forms with their expanded form.Find:log(c/d)log(a^b)log(ab)

Answer 1

Step-by-step explanation:

Applying Properties of logarithms, we get:

`\log_((c)/(d))=\text{ }\log_(c)\text{ - }\log_(d)`
`\log_(a^b)=\text{ b}\log_(a)`

and

`\log_(a\cdot b)=\text{ }\log_(a)\cdot\text{ }\log_{\text{ }}\text{ \lparen}b)`

then, we can conclude that the correct answer is:

Answer:

`\log_\text{ \lparen}(c)/(d))=\text{ }\log_{\text{ }}\text{ \lparen}c)\text{ - }\log_{\text{ }}\text{ \lparen}d)`
`\log_{\text{ }}\text{ \lparen}a^b)=\text{ b}\log_{\text{ }}\text{ \lparen}a)`

`\log_(a\cdot b)=\text{ }\log_(a)\cdot\text{ }\log_{\text{ }}\text{ \lparen}b)`