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9 grade maths

What is the value of the common logarithm log 10000 ?

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10 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer10 Months ago

The common logarithm, denoted as log, is the logarithm to the base 10. To find the value of log 10000, we can express 10000 as a power of 10.

Breaking Down the Calculation

We know that:

  • 10000 = 10^4

Applying the Logarithm Rule

Using the property of logarithms that states log(a^b) = b * log(a), we can simplify:

  • log(10000) = log(10^4) = 4 * log(10)

Finding the Final Value

Since log(10) equals 1, we have:

  • log(10000) = 4 * 1 = 4

Therefore, the value of the common logarithm log 10000 is 4.