What is the answer to 4^{2x}-6*4^{2x}=-20 ?

The answer to 4^{2x}-6*4^{2x}=-20 is x= 1/2

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4^{2x}-6*4^{2x}=-20

4^{2 x} - 6 \cdot 4^{2 x} = - 20

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

4^{2 x} - 6 \cdot 4^{2 x} = - 20

Add similar elements:

4^{2 x} - 6 \cdot 4^{2 x} = - 5 \cdot 4^{2 x}

- 5 \cdot 4^{2 x} = - 20

Divide both sides by

- 5

4^{2 x} = 4

Apply exponent rules

2 x = 1

Solve

2 x = 1 : x = \frac{1}{2}

x = \frac{1}{2}

2500 = 2000 (1.04)^{x}

lo g_{10} (3^{x}) = 81

1 5^{- 3 y} = 8

1 5^{- 3 y} = 9

y, z = x e^{x^{2} y}

What is the answer to 4^{2x}-6*4^{2x}=-20 ?
The answer to 4^{2x}-6*4^{2x}=-20 is x= 1/2
Solve for x: 4^{2x}-6*4^{2x}=-20
The solution is x= 1/2