What is the answer to ((3*3^{5x}))/((9^{2x))}= 1/27 ?

The answer to ((3*3^{5x}))/((9^{2x))}= 1/27 is x=-4

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((3*3^{5x}))/((9^{2x))}= 1/27

\frac{( 3 \cdot 3 ^{5 x} )}{( 9 ^{2 x} )} = \frac{1}{27}

x = - 4

Solution steps

\frac{( 3 \cdot 3 ^{5 x} )}{( 9 ^{2 x} )} = \frac{1}{27}

Apply exponent rules

x + 1 = - 3

Solve

x + 1 = - 3 : x = - 4

x = - 4

Verify Solutions:

x = - 4

True

The solution is

x = - 4

5^{l o g_{2} (x)} = 1

e^{x - 1} = 3^{e - x}

6^{y} = 16

g = \frac{1}{( 2 + e ^{x} )}

(2^{x})^{2} - 3 \cdot 2^{x} + 2 = 0

What is the answer to ((3*3^{5x}))/((9^{2x))}= 1/27 ?
The answer to ((3*3^{5x}))/((9^{2x))}= 1/27 is x=-4
Solve for x: ((3*3^{5x}))/((9^{2x))}= 1/27
The solution is x=-4