1) 5^(x^2-7x+16)=625 2) ^3√5^x=√5^(3x+2) 3) 5^(2x^2+x-2)=5*^4√((1/25)*5^2x)

Question

1) 5^(x^2-7x+16)=625
2) ^3√5^x=√5^(3x+2)
3) 5^(2x^2+x-2)=5*^4√((1/25)*5^2x)

Comments

2 непонятно

Answer 1

1
5^(x²-7x+16)=5^4
x²-7x+16=4
x²-7x+12=0
x1+x2=7 U x1*x2=12⇒x1=3 U x2=4
2
5^(x/3)=5^[(3x+2)/2]
x/3=(3x+2)/2
2x=9x+6
9x-2x=-6
7x=-6
x=-6/7
3
5^(2x²+x-2)=5^(1-0,5+2x)
2x²+x-2=0,5+2x
2x²-x-2,5=0
D=1+20=21
x1=(1-√21)/4
x2=(1+√21)/4