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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
3 months, 3 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. · 3 months, 3 weeks ago