Express log1000.1=−21 in exponential form:

Given equation log1000.1=−21 Converting into exponential form, 0.1=1002−1⇒0.1=(102)2−1⇒0.1=10−1

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Express _{100}0.1= -{1}{2} in exponential form:

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Express $lo g_{100} 0.1 = - \frac{1}{2}$ in exponential form:

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Express

lo g_{100} 0.1 = - \frac{1}{2}

in exponential form:

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Given equation

lo g_{100} 0.1 = - \frac{1}{2}

Converting into exponential form,

0.1 = 10 0^{\frac{- 1}{2}}

\Rightarrow 0.1 = (1 0^{2})^{\frac{- 1}{2}}

\Rightarrow 0.1 = 1 0^{- 1}

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Question Text	Express $lo g_{100} 0.1 = - \frac{1}{2}$ in exponential form:
Answer Type	Text solution:1
Upvotes	150