What is the answer to 3^{(1-2x)}3^2=1 ?

The answer to 3^{(1-2x)}3^2=1 is x= 3/2

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3^{(1-2x)}3^2=1

3^{(1 - 2 x)} 3^{2} = 1

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

3^{(1 - 2 x)} \cdot 3^{2} = 1

Apply exponent rules

(1 - 2 x + 2) ln (3) = ln (1)

Solve

(1 - 2 x + 2) ln (3) = ln (1) : x = \frac{3}{2}

x = \frac{3}{2}

e^{(8 - 4 x)} = 7

0.05 = 5 (1 0^{- 0.01 x})

200 = 100 (3)^{0.6 t}

2^{y} = \frac{1}{16}

1 6^{2 x - 3} = 4^{x + 2}