Question

Срочно..............

Answer 1

a) $3^{log_35}-log_35+log_315=5-log_35+log_33+log_35=5+1=6$

b) $log_{2/3}32-log_{2/3}243=log_{2/3}\frac{32}{243}=log_{2/3}(2/3)^5=5$

c) $25^{1-0.5log_511}=25^{log_{25}25-log_{25}11}=25^{log_{25}(25/11)}=25/11$

d) $\frac{lg81+lg64}{2lg3+3lg2}= \frac{lg3^4+lg2^6}{2lg3+3lg2}=\frac{4lg3+6lg2}{2lg3+3lg2}= \frac{2(2lg3+3lg2)}{2lg3+3lg2}=2$