The solution to approximate the logarithm to the nearest thousandth using the ch

Suman Cole

Suman Cole

Answered question

2021-09-20

The solution to approximate the logarithm to the nearest thousandth using the change base formula 3log7(105).

Answer & Explanation

wheezym

wheezym

Skilled2021-09-21Added 103 answers

Formula used: 
Change of Base Formula: A formula that allows you to rewrite a logarithm in terms of logs written with another base. This is especially helpful when using a calculator to evaluate a log to any base other than 10 or e. Assume that x, and b are all positive. Also assume that aq1,bq1
Change of base formula: logax=logbxlogba(aq1,bq1) 
Calculation: Description3log7(105)Step 1: Apply change of base formula for given logarithm.3log7(105)=3log10(105)log10(7)3(2.02119)0.84510=7.174973Step 2: Write the algorithmic value to nearest thousand3log7(105)=7.175 
Conclusion: 
The solution for the logarithm to nearest thousandth is 3log7(105)=7.175

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