Question

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

Answer 1

B)

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 √(x) = {x}^{ (1)/(2) }`

thus rewrite

`\displaystyle \log_( \sigma) \bigg( (57)/(74) \bigg) ^{ \large(1)/(2) }`

use division logarithm property

`\displaystyle \log_( \sigma)(57) ^{ \large(1)/(2) } - \log_( \sigma)(74)^{ \large (1)/(2) }`

use exponent logarithm property:

`\displaystyle (1)/(2) \log_( \sigma)(57) ^( \large ) - (1)/(2) \log_( \sigma)(74)^( \large )`

and we are done!