14.18
lgx=1
x=10
lg(0,027)x=2/3
x=∛(0,027)²=0,3²=0,09
lgx=-4
x=0,0001
lg(0,25)x=3/2
x=√(0,25)³=0,5³=0,125
14.19
log(4)x=-1/2
x=12
log(0,125)x=-2/3
x=∛8²=2²=4
log(32)x=-4/5
x=1/16
log(0,01)x=-3/2
x=√100³=10³=1000
14.20
ОДЗ для всех примеров
x>0 U x≠1
log(x)4=2
x²=4
x=2
log(x)1/27=-3
1/x³=1/27
x=3
log(x)125=3
x³=125
x=5
log(x)1/16=-4
1/x^4=1/16
x=1/2
14.21
log(x)3=1/2
√x=3
x=9
log(x)4=-1/2
1/√x=4
√x=1/4
x=1/16
log(x)7=1/3
∛x=7
x=343
log(x)8=-1/3
1/∛x=8
∛x=1/8
x=1/512
14.222^x=9
x=log(2)9
12^x=7
x=log(12)7
(1/3)^x=4
x=log(1/3)4
0,2^x=6
x=log(0,2)6
14.23
3^(x+1)=14
x+1=log(3)14
x=log(3)14-1
4^(5x-4)=10
5x-4=log(4)10
5x=4+log(4)10
x=0,8+0,2log(4)10
(2/7)^(3-x)=11
3-x=log(2/3)11
x=3-log(2/3)11
(√5)^(8-9x)=6
1/2*(8x-9)=log(5)6
4x=4,5+log(5)6
x=9/16+1/4*log(5)6