What is the answer to 2-4^{|x-1|}=0 ?

The answer to 2-4^{|x-1|}=0 is x= 1/2 ,x= 3/2

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2-4^{|x-1|}=0

2 - 4^{∣ x - 1 ∣} = 0

x = \frac{1}{2}, x = \frac{3}{2}

Solution steps

2 - 4^{∣ x - 1 ∣} = 0

Add

4^{∣ x - 1 ∣}

to both sides

2 - 4^{∣ x - 1 ∣} + 4^{∣ x - 1 ∣} = 0 + 4^{∣ x - 1 ∣}

Simplify

2 = 4^{∣ x - 1 ∣}

Apply exponent rules

1 = 2 ∣ x - 1 ∣

Solve

1 = 2 ∣ x - 1 ∣ : x = \frac{1}{2} or x = \frac{3}{2}

x = \frac{1}{2}, x = \frac{3}{2}

7 = e^{x}

n, a^{n} = b

\frac{1}{64} = 4^{x}

3^{x^{2} + 4 x} = \frac{1}{27}

4^{2 x} + 4^{x} - 2 = 0

What is the answer to 2-4^{|x-1|}=0 ?
The answer to 2-4^{|x-1|}=0 is x= 1/2 ,x= 3/2
Solve for x: 2-4^{|x-1|}=0
The solution is x= 1/2 ,x= 3/2