×

Logarithm Value

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
10 months, 1 week ago

Sort by:

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. · 10 months, 1 week ago