Value of log(0.02)/(0.07)?

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Value of log(0.02)/(0.07)?

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Answer 1 · 2018-06-15T19:47:50

Well, is it $log \frac{(0.02)}{(0.07)}$ $log\frac((0.02))((0.07))$ or $\frac{log (0.02)}{0.07}$ $log(0.02)/0.07$ ? Use your calculator.

$log \frac{(0.02)}{(0.07)} = log (\frac{2}{7}) = log 2 - log 7$ $color(blue)(log\frac((0.02))((0.07))) = log(2/7) = log 2 - log 7$

$= 0.3010 - 0.8451 = color(blue)(-0.5441...)$

$color(blue)(log(0.02)/0.07) = (log(2cdot10^(-2)))/(7 cdot 10^(-2))$

$= (log2 - 2log10)/(7 cdot 10^(-2))$

$= (100log2 - 200log10)/7$

$= (30.10 - 200)/7$

$= 28/7 + 2.10/7 - 210/7 + 10/7$

$= 4.00 + 0.30 - 30.00 + 1.42857$

$= color(blue)(-24.27)$

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Value of log(0.02)/(0.07)?

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