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Chapter 5: Q 32. (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.

ln0.5

Short Answer

Expert verified

The result is-a.

Step by step solution

01

Step 1. Given information.

Consider the given information.

ln0.5

02

Step 2. Calculation.

Apply the property logaMN=logaM-logaN.

ln0.5=ln12=ln1-ln2=0-ln2=-ln2

03

Step 3. Substitute the given values.

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

-ln2=-a

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