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Chapter 10: Q. 264 (page 1045)

In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible.

log280-log25

Short Answer

Expert verified

On simplifying the expression we get,

4

Step by step solution

01

Step 1. Given information 

We are given an expression,

log280鈭�log25

Use the logarithm properties to condense the given expression.

02

Step 2. Identify the logarithm property  

Use quotient property of logarithm,

logaM-logaN=logaMN

03

Step 3. Simplifying the expression 

Using the quotient rule of logarithm, we get

log280-log25=log2805log280-log25=log216log280-log25=log224

Using logaab=b, we get

log280-log25=4

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