# Value of log(0.02)/(0.07)?

##### 1 Answer

Jun 15, 2018

Well, is it

#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)#