Question

complete the steps to evaluate the following expression, given \\(\log_{3}a = -0.631\\). \\(\log_{3}\frac{a}{3}\\) \\(\log_{3}3 = \boxed{-1}\\) \\(\times\\) \\(\
ightarrow 1\\) complete \\(\log_{3}\frac{a}{3} = \boxed{}\\)

Explanation:

Step1: Apply log quotient rule

The logarithm of a quotient is the difference of the logarithms, so $\log_{3}\frac{a}{3}=\log_{3}a - \log_{3}3$.

Step2: Substitute known values

We know that $\log_{3}a=-0.631$ and $\log_{3}3 = 1$ (since $\log_{b}b = 1$ for any positive $b
eq1$). Substituting these values in, we get $-0.631-1$.

Step3: Calculate the result

$-0.631 - 1=-1.631$.

Answer:

$-1.631$