12. condense the logarithmic expression. \n$6\\ln x + 4\\ln y = \\square$\nguided solution\nprovided by…

12. condense the logarithmic expression. \n$6\\ln x + 4\\ln y = \\square$\nguided solution\nprovided by calcview

12. condense the logarithmic expression. \n$6\\ln x + 4\\ln y = \\square$\nguided solution\nprovided by calcview

Answer

Explanation:

Step1: Apply power rule to logs

$6\ln x = \ln x^6$, $4\ln y = \ln y^4$

Step2: Apply product rule to logs

$\ln x^6 + \ln y^4 = \ln\left(x^6 y^4\right)$

Answer:

$\ln\left(x^6 y^4\right)$