Solve the equation
(a) 5(2 − x) ≤ 3x + 2 < 8
(b) 1/8 = 23x−4,
(c) logbx + logb(x − 4) = logb21
(d) log42x = 2
a)
"10-5x\\le3x+2"
"8\\le8x"
"1\\le\\>x"
"3x+2<8"
"3x<6"
"x<2"
"1\\le\\>x<2"
b)
"2^{-3}=2^{3x-4}"
"-3=3x-4"
"1=3x"
"x=\\frac{1}{3}"
c)
Log"_b" "\\begin{bmatrix}\n x(x-4)\n \n\\end{bmatrix}=" log"_b21"
"x^2-4x-21=0"
"x^2-7x+3x-21=0\\\\\nx(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\\nx=-3\\>or\\>7"
d)
"2x=4^2"
"x=8"
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