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

!!NEED THIS NOW PLS!!Expand the logarithmic expression-example-1

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6 votes

Answer:

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!

User GingerBreadMane
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