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In equation $\log_{2} (2 x) = \log_{2} 100$ , value of $x = ?$

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x = 20

x = 30

x = 40

x = 50

answer is B.

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Detailed Solution

Here:

\log_{2} (b) = \log_{a} (c)

[∵ b = c]

\log_{2} (2 x) = \log_{2} (100)

[From above equation]

2 x = 100

\Rightarrow x = \frac{100}{2}

\Rightarrow x = 50

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