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11 grade maths others

How do you express ln 1.5 in terms of ln 2 and ln 3?

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10 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer10 Months ago

To express ln 1.5 in terms of ln 2 and ln 3, we can use the properties of logarithms. First, recognize that 1.5 can be rewritten as a fraction:

Breaking Down 1.5

We can express 1.5 as:

  • 1.5 = 3/2

Applying Logarithmic Properties

Using the quotient rule of logarithms, which states that ln(a/b) = ln(a) - ln(b), we can write:

ln(1.5) = ln(3/2) = ln(3) - ln(2)

Final Expression

Thus, the expression for ln 1.5 in terms of ln 2 and ln 3 is:

ln(1.5) = ln(3) - ln(2)

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