Question

lg 2 = 0.3010

Explanation:

Step1: Recall the logarithm property

We know that $\lg 10 = \lg(2\times5)=\lg 2+\lg 5 = 1$ (since $\lg 10 = 1$ and using the property $\log_a(MN)=\log_a M+\log_a N$).

Step2: Solve for $\lg 5$

We are given that $\lg 2 = 0.3010$. Substitute this value into the equation $\lg 2+\lg 5 = 1$.
So, $\lg 5=1 - \lg 2$.
Substitute $\lg 2 = 0.3010$ into the above formula: $\lg 5 = 1 - 0.3010 = 0.6990$.

Answer:

$\lg 5 = 0.6990$