Question

expand the logarithmic expression. $log 10x^{3}y = square$

Explanation:

Step1: Split product into sum of logs

$\log(10x^3y) = \log 10 + \log x^3 + \log y$

Step2: Apply power rule to $\log x^3$

$\log x^3 = 3\log x$

Step3: Evaluate $\log 10$ (base 10)

$\log 10 = 1$

Step4: Combine all terms

$1 + 3\log x + \log y$

Answer:

$1 + 3\log x + \log y$