What is the answer to (9/7)^3*(49/81)^{2x-6}=(7/9)^9 ?

The answer to (9/7)^3*(49/81)^{2x-6}=(7/9)^9 is x=6

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(9/7)^3*(49/81)^{2x-6}=(7/9)^9

(\frac{9}{7})^{3} \cdot (\frac{49}{81})^{2 x - 6} = (\frac{7}{9})^{9}

x = 6

Solution steps

(\frac{9}{7})^{3} (\frac{49}{81})^{2 x - 6} = (\frac{7}{9})^{9}

Divide both sides by

(\frac{9}{7})^{3}

(\frac{49}{81})^{2 x - 6} = \frac{( \frac{7}{9} ) ^{9}}{( \frac{9}{7} ) ^{3}}

Simplify

\frac{( \frac{7}{9} ) ^{9}}{( \frac{9}{7} ) ^{3}} : \frac{7 ^{12}}{9 ^{12}}

(\frac{49}{81})^{2 x - 6} = \frac{7 ^{12}}{9 ^{12}}

Apply exponent rules

2 x - 6 = 6

Solve

2 x - 6 = 6 : x = 6

x = 6

(\frac{x}{10}) - 20.89 \cdot e^{\frac{- x}{( 2478.82 )}} = 0

x, p^{2} - p (e^{x} + e^{- x}) + 1 = 0

2^{n - 1} = 16

14 e^{6 - x} + e^{12 x - 7} = 0

4 = x \cdot e^{x}

What is the answer to (9/7)^3*(49/81)^{2x-6}=(7/9)^9 ?
The answer to (9/7)^3*(49/81)^{2x-6}=(7/9)^9 is x=6
Solve for x: (9/7)^3*(49/81)^{2x-6}=(7/9)^9
The solution is x=6