2 years ago

Expand each expression In 4y5/x2

Mathematics

2 answers:

exis [7]2 years ago

4 0

Answer: Answer B

Step-by-step explanation: Let's begin

Answer: B in 4 - 2 in x + 5 in y

nordsb [41]2 years ago

3 0

Answer:

$\ln 4 -2 \ln x +5 \ln y$

Step-by-step explanation:

$\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y$

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