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

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

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

(\frac{1}{3})^{x} = 2 7^{x + 2}

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

(\frac{1}{3})^{x} = 2 7^{x + 2}

Apply exponent rules

- x = 3 (x + 2)

Solve

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

x = - \frac{3}{2}

8^{x} = 9

3^{m - 1} + 3^{m} - 12 = 0

3 (3^{2 x}) + 14 (3^{x}) - 5 = 0

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

49 (7^{2 x}) - 344 (7^{x}) + 7 = 0

What is the answer to (1/3)^x=27^{x+2} ?
The answer to (1/3)^x=27^{x+2} is x=-3/2
Solve for x: (1/3)^x=27^{x+2}
The solution is x=-3/2