Question

rewrite the following logarithmic expression as one logarithm.

\\12 \ln(x) + \ln(y) + 14 \ln(z)\\

Explanation:

Apply the power property of logarithms

$$ 12\ln(x) + \ln(y) + 14\ln(z) = \ln(x^{12}) + \ln(y) + \ln(z^{14}) $$

Apply the product property of logarithms

$$ \ln(x^{12}) + \ln(y) + \ln(z^{14}) = \ln(x^{12} y z^{14}) $$

Answer:

Rewrite the following logarithmic expression as one logarithm.
\(12 \ln(x) + \ln(y) + 14 \ln(z) =\) <blank>\(\ln(x^{12}yz^{14})\)</blank>