Question

сравнить Log0,25 5 и log0,5 5

Answer 1

$log_{0,25}5=log_\frac{1}{4}5=log_\frac{1}{2^2}5=log_{2^{-2}}5=-2log_25\\log_{0,5}5=log_\frac125=log_{2^{-1}}5=-log_25\\-2log_25\ \textless \ -log_25\\log_{0,25}5\ \textless \ log_{0,5}5$