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elena-s [515]
3 years ago
13

Write the expression as a single natural logarithm.3 ln x – 5 ln c

Mathematics
1 answer:
shtirl [24]3 years ago
4 0
The rules are ...
\Longrightarrow \ln(\frac{a}{b})=\ln(a)-\ln(b)
\Longrightarrow \ln(a^{b})=b\ln(a)

Your expression makes use of both these rules.
3\ln(x)-5\ln(c)=\ln(x^{3})-\ln(c^{5})=\ln \left( \dfrac{x^{3}}{c^{5}} \right)

Your single logarithm is ...
  \ln \left( \dfrac{x^{3}}{c^{5}} \right)
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