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

Explanation:

Applying Properties of logarithms, we get:

$\log_(\frac{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}\frac{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)$

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