marywoozy
Answered

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

NEED THIS NOW PLSExpand The Logarithmic Expression class=

Sagot :

Nayefx

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!

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