Logarithm#2

Algebra Level 2

log 2 ( 0.125 ) = x , x = ? \large \log_2 (0.125) = x \qquad , \qquad x= \ ?

1/3 3 -3 -1/3

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2 solutions

Saubia Ansari
Aug 15, 2015

:

Good solution.Did in the same way.

Rama Devi - 5 years, 10 months ago

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Thank you!

Saubia Ansari - 5 years, 9 months ago

Are you uncomfortable using latex?

Agnishom Chattopadhyay - 5 years, 10 months ago

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yes ,i am.

Saubia Ansari - 5 years, 10 months ago

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You can learn the basics here

Agnishom Chattopadhyay - 5 years, 10 months ago
Rama Devi
Aug 15, 2015

l o g 2 0.125 = x . \large log_{2}{0.125}=x.

2 x = 0.125. \Rightarrow 2^x=0.125.

2 x = ( 0.5 ) 3 . \Rightarrow 2^x =(0.5)^3.

2 x = ( 1 2 ) 3 . \Rightarrow 2^x = {(\dfrac{1}{2})^3}.

2 x = 2 3 . \Rightarrow 2^x = 2^{-3}.

x = 3. \Rightarrow \boxed{x=-3.}

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