CyannaV180591 CyannaV180591
  • 25-10-2022
  • Mathematics
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Which of the following expressions is equivalent to the logarithmic expression below?ln 5 + ln 3A.ln 53B.ln 35C.ln 15D.ln 8

Which of the following expressions is equivalent to the logarithmic expression belowln 5 ln 3Aln 53Bln 35Cln 15Dln 8 class=

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JelenaK358368 JelenaK358368
  • 25-10-2022

To solve the problem, we will use the following property of logarithms. Given positive numbers a and b, we have that

[tex]ln(a\cdot b)=ln(a)+ln(b)[/tex]

in our case, we have a=5 and b=3. So we have

[tex]ln(3\cdot5)=ln(3)+ln(5)[/tex]

so we have

[tex]ln(15)=ln(3)+ln(5)[/tex]

which is option C

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