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,
[tex] \displaystyle \sqrt{x} = {x}^{ \frac{1}{2} } [/tex]
thus rewrite
[tex] \displaystyle \log_{ \sigma} \bigg( \frac{57}{74} \bigg) ^{ \large\frac{1}{2} } [/tex]
use division logarithm property
[tex] \displaystyle \log_{ \sigma}(57) ^{ \large\frac{1}{2} } - \log_{ \sigma}(74)^{ \large \frac{1}{2} } [/tex]
use exponent logarithm property:
[tex] \displaystyle \frac{1}{2} \log_{ \sigma}(57) ^{ \large } - \frac{1}{2} \log_{ \sigma}(74)^{ \large } [/tex]
and we are done!
