What is the answer to sqrt(3^{3x-10)}= 1/27 sqrt(3) ?

The answer to sqrt(3^{3x-10)}= 1/27 sqrt(3) is x= 5/3

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sqrt(3^{3x-10)}= 1/27 sqrt(3)

3^{3 x - 10} = \frac{1}{27} 3

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

3^{3 x - 10} = \frac{1}{27} 3

Apply exponent rules

(3 x - 10) \frac{1}{2} = - \frac{5}{2}

Solve

(3 x - 10) \frac{1}{2} = - \frac{5}{2} : x = \frac{5}{3}

x = \frac{5}{3}

2 e^{1 - 2 y} = 3 e^{3 y + 2}

5 + 7 \cdot 9^{2 r + 7} = 20

6^{2 x + 5} = 21 6^{x - 4}

1 0^{x} = 42

1 0^{x} = 49

What is the answer to sqrt(3^{3x-10)}= 1/27 sqrt(3) ?
The answer to sqrt(3^{3x-10)}= 1/27 sqrt(3) is x= 5/3
Solve for x: sqrt(3^{3x-10)}= 1/27 sqrt(3)
The solution is x= 5/3