㏒₃27 - ㏒₁/₇ 7=㏒₃3³ -(-1)*㏒₇7=3+1=4
2^(1+log₂ 5)=2¹*2^log₂<span> 5=2*5=10
lg4+lg5=lg4*5=lg20=lg2*10=lg2+lg10=lg2+1
3</span>ˣ=7 x=㏒₃7
㏒₄x =㏒₀,₅√2 х=4^(㏒₀,₅√2 )=2^(2㏒₀,₅√2 )=2^(㏒₁/₂2 )=
=2^-1*^(㏒₂2 )=1/2^(㏒₂2)=1/2
<span>(х+3)(х-10) < (х-5)(х-2)
х²-10х+3х-30 </span><span>< х²-2х-5х+10
х²-7х-30 </span><span>< х²-7х+10
-30 </span><span>< 10</span>
1) 2√18 + 3√8 + 3√32 - √50 = 6√2 + 6√2 + 12√2 - 5√2 = 19√2
2) 3√20 - √45 + 3√18 +√72 - √80 = 12√5 - 3√5 + 9√2 + 6√2 - 4√5 = 5√5 + 15√2
3) 5√а - 3
+ 2
= 5√а - 6
+ 6
= 5√a, a > 0.
4) √x³ +
-
= x√x + 3x√x - 2x√x = 4x√x - 2x√x = 2x√x, x > 0.
1. (10a^2-2ab+5ab-b^2)-6a^2-3ab=4a^2-b^2
2. 4x^2-14y^2-14xy+7y^2=4x^2-14xy+7y^2
3. 2y^3+6y^2-4y^2-12y=2y^3+2y^2-12y
4. 27x^3*a-108x^4-76x^3+18x^2*a
TgB = AC/BC = 8/√32 = 8√32/32 = <span>√2</span>