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Chapter 5: Q 35. (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.

ln65

Short Answer

Expert verified

The result is15a+b.

Step by step solution

01

Step 1. Given information.

Consider the given information.

ln65

02

Step 2. Calculation. 

Apply the properties of logarithms.

ln65=ln615=15ln2路3=15ln2+ln3

03

Step 3. Substitute the given values.

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

15ln2+ln3=15a+b

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