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If log102 = 0.3010 and log107 = 0.8451, evaluate log10280

Question 1 Report

If log102 = 0.3010 and log107 = 0.8451, evaluate log10280

3.4471

2.4471

1.4471

1.4071

Answer Details

Log 2 = 0.3010, Log 7 = 0.8451
∴Log 280 = Log 28 x 10
= Log 7x4x10
=Log7 + Log4 + Log10
= Log7 + Log22 + Log10
= Log7 + 2Log2 + Log10
= 0.8451 + 2(0.3010) + 1
= 0.8451 + 0.6020 + 1
= 2.4471

Read lesson note on Logarithms (WAEC)

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