If Log 27 = 1.431, Find the Value of the Following: Log300 - Mathematics

If log 27 = 1.431, find the value of the following: log300

Sum

log 27
= log 3³
= 3 log 3
= 1.431
⇒ log 3
= `(1.431)/(3)`
= 0.477
∴ log300
= log(3 x 100)
= log(3 x 10²)
= log3 + 2 log 10
= 0.477 + 2
= 2.477.

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Expansion of Expressions with the Help of Laws of Logarithm

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