Work each problem. Which of the following is equivalent to ln(4x)-ln(2x) for x>0? A. 2 \ln x. B. \ln 2x. C \frac{\ln4x}{ln2x}. D. \ln2

Kyran Hudson

Kyran Hudson

Answered question

2021-06-10

Work each problem. Which of the following is equivalent to ln(4x)ln(2x) for x>0?
A. 2lnx.
B. ln2x.
C ln4xln2x.
D. ln2

Answer & Explanation

ottcomn

ottcomn

Skilled2021-06-11Added 97 answers

To determine which of the following is equivalent to ln(4r)ln(2x) for s>0, let us try to apply the properties of logarithms into the given expression until we can show one of the expression in the given choices.
Apply the quotient property of logarithms: logaxy=logaxlogay
ln(4x)ln(2x)=ln4x2x
We showed that ln(4)ln(2x)=ln4x2x therefore the given logarithmic expression is equivalent to the logarithmic expression in C.

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