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AssignmentMultiple Choice

Solving Exponential and Logarithmic Equations

Question 1 • FL-1200330-Algebra 2 CR

What equation is equivalent to 9x - 3 = 729?

Answer
A
9x - 3 = 981
B
9x - 3 = 93
C
3x - 3 = 36
D
32x - 3 = 36

Explanation

Rewrite 9 as 3², so 9ˣ becomes (3²)ˣ = 3²ˣ. Also, 729 = 3⁶. Therefore, 9ˣ − 3 = 729 is equivalent to 3²ˣ − 3 = 3⁶, which is choice D.

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