What is the answer to 2|x|+7=10 ?

The answer to 2|x|+7=10 is x=-3/2 \lor x= 3/2

Solve for x: 2|x|+7=10

The solution is x=-3/2 \lor x= 3/2

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2 ∣ x ∣ + 7 = 10

x = - \frac{3}{2} or x = \frac{3}{2}

Decimal Notation

x = - 1.5, x = 1.5

Solution steps

2 ∣ x ∣ + 7 = 10

Move

7

to the right side

2 ∣ x ∣ = 3

Divide both sides by

2

∣ x ∣ = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - \frac{3}{2} or x = \frac{3}{2}

x^{l o g_{10} (x)} = 100 x

ln (x) - ln (x + 2) = 1

lo g_{2} (x) = 4

lo g_{5} (x) = 2

lo g_{3} (x) = - 2