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Logarithm Value

I need your help

Why \(\log_{10}(2)\) is equal to \(0.30102999566...\). Please I need explanation for this how come the answer is \(0.30102999566...\) Thanks.

Note by For Teich
1 month, 2 weeks ago

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Because \(10^{0.30102999566...}=2\) i.e \(10^0 \approx 2^1, \space 10^3 \approx 2^{10}, \space 10^{30} \approx 2^{100}, \space 10^{30103} \approx 2^{100000}\) etc. Wen Z · 1 month, 2 weeks ago

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