What is the answer to (27^2)/(81^3)=3^x ?

The answer to (27^2)/(81^3)=3^x is x=-6

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(27^2)/(81^3)=3^x

\frac{2 7 ^{2}}{8 1 ^{3}} = 3^{x}

x = - 6

Solution steps

\frac{2 7 ^{2}}{8 1 ^{3}} = 3^{x}

Apply exponent rules

- 6 = x

Switch sides

x = - 6

2 e^{x} - 9 e^{- 3 x} = 0

(\frac{4}{3})^{1 - x} = 5^{x}

95 = 1 1^{x}

5^{3 x} = 2 5^{6}

2^{2 x + 2} = 9 (2^{x})^{- 1}

What is the answer to (27^2)/(81^3)=3^x ?
The answer to (27^2)/(81^3)=3^x is x=-6
Solve for x: (27^2)/(81^3)=3^x
The solution is x=-6