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Lorico [155]
3 years ago
15

Solve 27^2x-6 = 3^9+x

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

27^{2} x - 6 = 3^{9} + 6

First, Evaluate the power:

<u><em>27^{2}</em></u> x - 6 = <u><em>3^{9}</em></u> + 6

729x - 6 = 19683 + x

Next, move the variable to the left side and change it's sign, then the constant to the right side and change its sign:

729x - <u><em>6 </em></u>= 19683 + <u><em>x</em></u>

Next, collect like terms and add the numbers:

<u><em>729x - x</em></u> = <u><em>19683 + 6</em></u>

728x = 19689

Finally divide both sides of the equation by 728 (any expression divided by itself equals 1):

x = 19689 / 728

x = 27 \frac{33}{728}



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