What is the answer to 3^{4-2x}=9^{2x} ?

The answer to 3^{4-2x}=9^{2x} is x= 2/3

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3^{4-2x}=9^{2x}

3^{4 - 2 x} = 9^{2 x}

x = \frac{2}{3}

Decimal

x = 0.66666 \dots

Solution steps

3^{4 - 2 x} = 9^{2 x}

Apply exponent rules

4 - 2 x = 4 x

Solve

4 - 2 x = 4 x : x = \frac{2}{3}

x = \frac{2}{3}

5^{x} = 55

5^{x} = 31

5^{x^{2} + 2 x} = 125

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

x, z^{2} = 3^{10} + 3^{x}