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Varvara68 [4.7K]
3 years ago
5

Write as a single logarithm. ln(4) − 3ln(1/3) + ln(2)

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0

Answer:

ln(4) -3ln(1/3) + ln(2) = ln(216)

Step-by-step explanation:

Hi there!

First, let´s write the expression:

ln(4) -3ln(1/3) + ln(2)

Apply the logarithm property: a ln(x) = ln(xᵃ)

ln(4) - ln(1/3³) + ln(2)

ln(4) - ln(1/27) + ln(2)

Apply the logarithm property: ln(a) - ln(b) = ln(a/b)

ln(4/(1/27)) + ln(2)

ln(108) + ln(2)

Apply the logarithm property: ln(a) + ln(b) = ln(a·b)

ln(108 · 2) = <u>ln(216)</u>

Have a nice day!

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Help please also due tomorrow so thanks also it's question number 4
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Fin how much was taken out
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