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Chapter 5: Q 34. (page 308)

Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of a and b.

ln27

Short Answer

Expert verified

The result is 3b.

Step by step solution

01

Step 1. Given information.

Consider the given information.

ln27

02

Step 2. Calculation.

Apply the property logaMr=rlogaM.

ln27=ln33=3ln3

03

Step 3. Substitute the given values.

Substitute ln 2 = a and ln 3 = bin the obtained result.

3log3=3b

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