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Logarithms

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Question : 4 of 85

Marks: +1, -0

The value of

10^{\sqrt{\log_{10} 10000}}

is

100
10
1
10000

Solution:

Concept:

Use the property

\log_{10} 10^k = k

and then simplify the exponent.

Explanation:

Step 1: Evaluate

\log_{10} 10000

.

Since

10000 = 10^4

, we get

\log_{10} 10000 = 4

.

Step 2: Compute the square root:

\sqrt{4} = 2

.

Step 3: Now the expression becomes

10^{2}

, which equals

100

.

Answer:

100

(Option A).

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