What is the answer to (27^{-4}9)/(81^{-2)}=3^x ?

The answer to (27^{-4}9)/(81^{-2)}=3^x is x=-2

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(27^{-4}9)/(81^{-2)}=3^x

\frac{2 7 ^{- 4} 9}{8 1 ^{- 2}} = 3^{x}

x = - 2

Solution steps

\frac{2 7 ^{- 4} \cdot 9}{8 1 ^{- 2}} = 3^{x}

Apply exponent rules

- 2 = x

Switch sides

x = - 2

2 5^{x} = 625

\frac{1}{3} 3^{4 x + 2} - 3^{2 x - 5} = 0

9^{x + 1} - 3^{x + 3} - 3^{x} + 3 = 0

\frac{70}{1 + e ^{- x}} = 3

What is the answer to (27^{-4}9)/(81^{-2)}=3^x ?
The answer to (27^{-4}9)/(81^{-2)}=3^x is x=-2
Solve for x: (27^{-4}9)/(81^{-2)}=3^x
The solution is x=-2