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Chapter 10: Q. 286 (page 1046)

Use an example to show that log(a+b)鈮�log(a)+log(b)

Short Answer

Expert verified

By using the example of log(12)鈮�log(5)+log(7), it has been proved that log(a+b)鈮�log(a)+log(b)

Step by step solution

01

Step 1. To give an example for the property

To give an example for the property, log(a+b)鈮�log(a)+log(b)

02

Step 2. Substitute two numbers.

Consider a=5,b=7for the logarithmic equation.

log(5+7)=log(5)+log(7)

03

Step 3. Solve the equation

log(5+7)=log(5)+log(7)log(12)=log(5)+log(7)

04

Step 4. Substitute the logarithmic values and solve.

log(12)=log(5)+log(7)1.079=0.699+0.8451.079鈮�1.544

Hence the example.

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