Մաթեմատիկա 2

1.ա) f(7)= 7²⁶

                f(8)=8²⁶

          f(8)>f(7)

1.գ)f(-24)=(-24)²⁶

           f(-23)=(-23)²⁶

       f(-24)>f(-23)

2.ա) f(13)=13³¹

          f(12)=12³¹

             f(13)>f(12)

2.բ)f(0.02)=(0.02)³¹

           f(0.01)=(0.01)³¹

       f(0.02)>f(0.01)

42.ա)  3^x+2=81

            3^x+2=3⁴

            x+2=4

            x=2

42.դ)  (√0.5)^2-x=32

            (√1/2)^2-x=(1/2)^-5

                        2-x-1=-5

            X=-4

45.ա) 6^3x+2=6^2x+7

                        3x+2=2x+7

            X=5

45.գ) (2²)^x+2=2 * (2³)^x-1

2x+4=3x-1

X=3

66.բ) (0,2)^x-1<25

         <(0,2)^x-1<25

          <(1/5)^x-1 < (1/5^-2)

          x-1<2

         x<3

66.գ)     (√3/9)^x+2≤27

             (√3/9)^x+2≤(1/27^-1)     x3

            (3/27)^x+2≤(3/27^-1)

            X+2≤-1

            x≤-3

84.ա)   log₂⁵√4 = 2/5

84.դ)    log_1/749√7= -2.5

89.ա)   log₈(x²-9)

            x≥ √17

89.բ)    lg(1-x²)

            x≥-3

99.ա) log₂7*log₇2^-2=-2            

99.գ)log₃4*log₁₆9=3/4

133,A)   log₄(5x+3)=log₄(7x+5)

            5x+3=7x+5

            X=-1

133,B)   log₇(6x-1)=log₇(4x+9)

            6x-1=4x+9

            X=5

157,B) log_3/5(2x+7)>log_3/5(7x-18)

            2x+7>7x-18

            x<5

157,G)  lgX +lg(13-2x)<1+lg2

            lgX +lg(13-2x)<lgX+lg2

            x+13-2x-x+2<0

            2x>-15