What is the answer to 4^{x+2}=16^{2x-4} ?

The answer to 4^{x+2}=16^{2x-4} is x= 10/3

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4^{x+2}=16^{2x-4}

4^{x + 2} = 1 6^{2 x - 4}

x = \frac{10}{3}

Decimal Notation

x = 3.33333 \dots

Solution steps

4^{x + 2} = 1 6^{2 x - 4}

Apply exponent rules

x + 2 = 2 (2 x - 4)

Solve

x + 2 = 2 (2 x - 4) : x = \frac{10}{3}

x = \frac{10}{3}

5^{- 2 x + 1} = 2 5^{x - 2}

4^{x + 1} = 5^{x}

5^{2 x} = 3^{3 x + 1}

2^{x + 2} - 2^{x + 5} + 7 = 0

3^{n} = 27

What is the answer to 4^{x+2}=16^{2x-4} ?
The answer to 4^{x+2}=16^{2x-4} is x= 10/3
Solve for x: 4^{x+2}=16^{2x-4}
The solution is x= 10/3