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If _x 2 = -1, then the value of x is equal to

Question

If $lo g_{x} 2 = - 1$ , then the value of $x$ is equal to

2

\frac{1}{2}

- 2

1

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Elijah Discussed

lo g_{x} 2 = - 1

, then the value of

x

is equal to

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

lo g_{x} 2 = \frac{lo g 2}{lo g x}

...

(lo g_{b} a = \frac{lo g a}{lo g b})

∴ \frac{lo g 2}{lo g x} = - 1

∴ lo g x = - 1 lo g 2

∴ lo g x = lo g 2^{- 1}

....(

lo g a^{b} = b lo g a

)

∴ x = \frac{1}{2}

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Question Text	If $lo g_{x} 2 = - 1$ , then the value of $x$ is equal to
Answer Type	Text solution:1
Upvotes	150