Approximate the logarithm using the properties of logarithms, given \log

Khadija Wells

Khadija Wells

Answered question

2021-10-26

Approximate the logarithm using the properties of logarithms, given
logb20.3869,logb30.6131,  and  logb50.8982
Question:logb15

Answer & Explanation

escumantsu

escumantsu

Skilled2021-10-27Added 98 answers

Step 1
Given:
logb20.3869,
logb30.6131,  and  
logb50.8982
We have to find the logb15
Step 2
We know that 15 can be written as 5×3
We write logb15=logb(5×3)
The basic properties of logarithms:
logb(m×n)=logb(m)+logb(n)
Use the above property,
logb15=logb(5×3)
=logb5+logb3
0.8982+0.6131
1.5113
Hence, logb151.5113

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