Log(2)x/log(2)8+log(2)x/log(2)√2=14
log(2)x/3+log(2)x/0,5=14
log(2)x/3+2log(2)x=14
log(2)x+6log(2)x=42
7log(2)x=42
log(2)x=42:7=6
x=2^6
x=64
Ответ х=64
log(3)x=a
a²-2a-3≤0
a1+a2=2 U a1*a2=-3⇒a=3 U a2=-1
+ _ +
-----------------------------------------------------
-1 3
-1≤a≤3
-1≤log(3)x≤3
1/3≤x≤27
x∈[1/3;27]
4 ^ 11 • 4 ^ - 8 = 4 ^ ( 11 - 8 ) = 4 ^ 3 = 64
Ответ 64
3^6 *5^8 3^6*5^8
----------- = ----------- = 3 * 5^2=3 *25 = 75
(5*3)^6 3^6* 5^6
1)-1/8a^2+1/4ab-1/8b^2=-1/8* (a²-2ab+b²)=-1/8 *(a-b)(a-b)
2)3a(b-4)-2b+8=3a(b-4)-2(b-4)=(b-4)(3a-2)
<span>3)x^3+3x^2-x-3=x</span>²(x+3)-(x+3)=(x+3)(x²-1)=(x+3)(x+1)(x-1)
1) x^2-2x-4x+8-(x^2-3x-x+3)=x^2-6x+8-(x^2-4x+3)=x^2-6x+8-x^2+4x-3=-2x-3
x=1(3/4)
-2*7/4-3=-14/4-3=-(14+12)/4=-26/4=-6(2/4)=-6,5
2)a^2-a-5a+5-(a^2-3a+2a-6)=a^2-6a+5-a^2+a+6=-5a+11=11-5a
a=-2(3/5)=-2,6
11-5*(-2,6)=11+13=24
3)x^2-3x-2x+6+x^2-5x+6x-30-2x^2+14x-26=2x^2-4x-24-2x^2+14x-26=10x-50
x=5,6
10x-50=10*5,6-50=56-50=6