Question 1018450
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If log5=a and log4=b, express the logarithm in terms of a and b. log 0.16
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Notice that 0.16 = {{{16/100}}} = {{{4^2/(4*5^2)}}} = {{{4/5^2}}}.


Therefore, {{{log(10, (0.16))}}} = {{{log(10, (4/5^2))}}} = {{{log(10,4) - 2*log(10,5)}}} = b - 2a.