What is the answer to (8/27)^{2-3x}=1 ?

The answer to (8/27)^{2-3x}=1 is x= 2/3

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(8/27)^{2-3x}=1

(\frac{8}{27})^{2 - 3 x} = 1

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

(\frac{8}{27})^{2 - 3 x} = 1

Apply exponent rules

(2 - 3 x) ln (\frac{8}{27}) = ln (1)

Solve

(2 - 3 x) ln (\frac{8}{27}) = ln (1) : x = \frac{2}{3}

x = \frac{2}{3}

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

3 \cdot 3^{2 x} - 4 \cdot 3^{x} = - 1

3^{x + 2} - 3^{x} = \frac{8}{27}

6^{2 x} = 7

70 = 5 (10)^{x}