using the quotient property\ncomplete the steps to evaluate the following expression, given $log_{3} a =…

using the quotient property\ncomplete the steps to evaluate the following expression, given $log_{3} a = -0.631$.\n$log_{3} \\frac{a}{3}$\n$log_{3} 3 = \\square$\n$log_{3} \\frac{a}{3} = \\square$

using the quotient property\ncomplete the steps to evaluate the following expression, given $log_{3} a = -0.631$.\n$log_{3} \\frac{a}{3}$\n$log_{3} 3 = \\square$\n$log_{3} \\frac{a}{3} = \\square$

Answer

Explanation:

Step1: Aplicar propiedad del cociente

$\log_{3}\frac{a}{3} = \log_{3}a - \log_{3}3$

Step2: Calcular $\log_{3}3$

$\log_{3}3 = 1$

Step3: Sustituir valores conocidos

$\log_{3}\frac{a}{3} = -0.631 - 1$

Step4: Realizar la resta

$\log_{3}\frac{a}{3} = -1.631$

Answer:

$\log_{3}3 = 1$ $\log_{3}\frac{a}{3} = -1.631$