TheAnimeGirlidn
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How do you solve this? A step wise solution would be greatly appreciated! ​

How Do You Solve This A Step Wise Solution Would Be Greatly Appreciated class=

Sagot :

Answer:

(a) 2

Step-by-step explanation:

Using the property of logarithms

• [tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Using the property of exponents

• [tex]a^{n}[/tex] ⇔ [tex]\frac{1}{a^{-n} }[/tex]

given

[tex]log_{\frac{1}{2} }[/tex] x = - 1 , then

x = [tex](\frac{1}{2}) ^{-1}[/tex] = [tex]\frac{1}{2^{-1} }[/tex] = [tex]2^{1}[/tex] = 2

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