1) log(√7)(1/7)+3^log₃7=log(7^(1/2)7⁻¹+7=-2log₇7+7=-2+7=5.
2) √(25^(1/log⁶5)+49^(1/log₈7))=√(5^2log₅6+7^2log₇8)=
=√(5^log₅6²+7^log₇8²)=√(6²+8²)=√100=10.
3) 10^(1-lg5)=10*10^(-lg5)=10/10^lg5=10/5=2.
4) log(c)(16c²)=log(c)4⁴+log(c)c²=4log(c)2+2=4*(-3)+2=-10.
Q=b2/b1=(16/9)/(16/27)=3
b8=16/27*3^7=1296
299х²+100х-500+101х²=0
400х²+100х-500=0 все можно поделить на 100
4х²+х-5=0
D=1+4·4·5=81
х=1,25 х=1