7^log49(36)=7^log7^2(36)=7^(1/2log7(36))=7^log7(36^1/2)=36^1/2=6
B) 4^1/2*4^(1/log625(16)=2*4^log16(625)=2*4log4^2(625)=2*4^1/2log4(625)=log4(625)=2*4^log4(625^1/2)=2*25=50 (a^loga(b)=b
526) log2(3)*log3(4)/log2(4)*log5(25) =2
log2(4)=log2(2^2)=2log2(2)=2 log5(25)=log5(5^2)=2log5(5)=2=> log5(25)/log2(4)=2/2=1 осталось log2(3)*log3(4)=log2(3)*1/log4(3)=log2(3)/log4(3)=
log2(3)/log2^2(3)=log2(3)/1/2log2(3)=1/(1/2)=2
526) log2(6)*log6(9)/log2(9)*6^log65=
log2(6)*log6(9)=1/log6(2)*log6(9)
b)log2(3)*log3(2)*7^2log7(3)=log2(3)/log2(3)*7^log7(3^2)=3^2=9
г) log7(8)*log8(7)*3^log9(29)=log7(8)/log7(8)*3^log3^2(49)=3log3(49)^1/2=7