Question

3 to the power x-6= 1/9^x find the answer​

Answer 1

Answer:

Apply the product rule to 19

.

1x−39x−3=33x+1

One to any power is one.

19x−3=33x+1

Move 9x−3

to the numerator using the negative exponent rule 1b−n=bn

.

9−(x−3)=33x+1

Create equivalent expressions in the equation that all have equal bases.

32(−(x−3))=33x+1

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2(−(x−3))=3x+1

Solve for x

.

Simplify 2(−(x−3))

.

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−2x+6=3x+1

Move all terms containing x

to the left side of the equation.

−5x+6=1

Move all terms not containing x

to the right side of the equation.

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−5x=−5

Divide each term by −5

and simplify.