What is the answer to (81^{3x+2})/(9^{-3x)}=243 ?

The answer to (81^{3x+2})/(9^{-3x)}=243 is x=-1/6

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(81^{3x+2})/(9^{-3x)}=243

\frac{8 1 ^{3 x + 2}}{9 ^{- 3 x}} = 243

x = - \frac{1}{6}

Decimal Notation

x = - 0.16666 \dots

Solution steps

\frac{8 1 ^{3 x + 2}}{9 ^{- 3 x}} = 243

Refine

3^{4 (3 x + 2) + 6 x} = 243

Solve

3^{4 (3 x + 2) + 6 x} = 243 : x = - \frac{1}{6}

x = - \frac{1}{6}

1 - \frac{9}{x} = - 8 x

\frac{11}{x - 9} = \frac{11}{9}

x - 2 = \frac{5}{x + 2}

- \frac{8 x}{( x ^{2} - 4 ) ^{2}} = 0

2 + \frac{8}{x - 7} = \frac{8 x}{x - 7}

What is the answer to (81^{3x+2})/(9^{-3x)}=243 ?
The answer to (81^{3x+2})/(9^{-3x)}=243 is x=-1/6
Solve for x: (81^{3x+2})/(9^{-3x)}=243
The solution is x=-1/6