Question:medium

If $ \log_{10} 2,\ \log_{10}(2^{x} - 1),\ \log_{10}(2^{x} + 3) $ are in A.P., then $ x $ is:

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Logarithmic properties $\log a + \log c = \log(ac)$ and $n \log a = \log(a^{n})$ are essential here.

Updated On: Apr 8, 2026

$\log_{2} 5$
$\log_{5} 2$
$\log_{10} 5$
$\log_{2} 10$

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The Correct Option is A

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If \( \log_{10} 2,\ \log_{10}(2^{x} - 1),\ \log_{10}(2^{x} + 3) \) are in A.P., then \( x \) is:

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The Correct Option is A

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