expand the expression. $log_{2}(3x^{4})$ $log_{2} ? +squarelog_{2}square$

expand the expression. $log_{2}(3x^{4})$ $log_{2} ? +squarelog_{2}square$

expand the expression. $log_{2}(3x^{4})$ $log_{2} ? +squarelog_{2}square$

Answer

Explanation:

Step1: Apply product rule of logs

$\log_2(3x^4) = \log_2(3) + \log_2(x^4)$

Step2: Apply power rule of logs

$\log_2(x^4) = 4\log_2(x)$

Step3: Combine the results

$\log_2(3) + 4\log_2(x)$

Answer:

$\log_2(3) + 4\log_2(x)$ (The filled blanks are: 3, 4, $x$)