Пж найдите значение выражения:) 1) log5 25+log2 16 2)log636-log3 9 3)log36 6+log49 7...

1) $log_{5}25+log_{2}16=log_{5}5^{2}+log_{2}2^{4}=2*log_{5}5+4*log_{2}2=2+4=6$

2) $log_{6}36+log_{3}9=log_{6}6^{2}+log_{3}3^{2}=2*log_{6}6+2*log_{3}3=2+2=4$

3) $log_{36}6+log_{49}7=log_{6^{2}}6+log_{7^{2}}7=0.5*log_{6}6+0.5*log_{7}7=$ $0.5+0.5=1$

4) $log_{2} \sqrt{2}=log_{2}2^{0.5}=0.5*log_{2}2=0.5$

5) $log_{9} \frac{1}{25}=log_{3^{2}}(\frac{1}{5})^{2}=2*0.5*log_{3}5=log_{3}5$