What is the answer to 4=2log_{2}(-x+4)-2 ?

The answer to 4=2log_{2}(-x+4)-2 is x=-4

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4=2log_{2}(-x+4)-2

4 = 2 lo g_{2} (- x + 4) - 2

x = - 4

Solution steps

4 = 2 lo g_{2} (- x + 4) - 2

Switch sides

2 lo g_{2} (- x + 4) - 2 = 4

Move

2

to the right side

2 lo g_{2} (- x + 4) = 6

Divide both sides by

2

lo g_{2} (- x + 4) = 3

Apply log rules

- x + 4 = 8

Solve

- x + 4 = 8 : x = - 4

x = - 4

Verify Solutions:

x = - 4

True

The solution is

x = - 4

lo g_{x + 4} (2 x^{2} + 16) = 2

∣ lo g_{10} (x) ∣ = 0.2

lo g_{3} (x^{2}) - lo g_{3} (2 x) = 3

lo g_{9} (y) = 1

1.2 = lo g_{10} (x + 18)

What is the answer to 4=2log_{2}(-x+4)-2 ?
The answer to 4=2log_{2}(-x+4)-2 is x=-4
Solve for x: 4=2log_{2}(-x+4)-2
The solution is x=-4