Question

!!NEED THIS NOW PLS!!Expand the logarithmic expression

Answer 1

Answer:

B)

Step-by-step explanation:

we are given a logarithmic expression

we want to expand it

in order to do so we can consider using

• exponent logarithm property
• division logarithm property

recall that,

$\displaystyle \sqrt{x} = {x}^{ \frac{1}{2} }$

thus rewrite

$\displaystyle \log_{ \sigma} \bigg( \frac{57}{74} \bigg) ^{ \large\frac{1}{2} }$

use division logarithm property

$\displaystyle \log_{ \sigma}(57) ^{ \large\frac{1}{2} } - \log_{ \sigma}(74)^{ \large \frac{1}{2} }$

use exponent logarithm property:

$\displaystyle \frac{1}{2} \log_{ \sigma}(57) ^{ \large } - \frac{1}{2} \log_{ \sigma}(74)^{ \large }$

and we are done!