What is the solution to the equation 9^ (x - 2) = 27? x = 2.5 / x = 0.5 / x = - 0.5 / x = 3.5

Question

Mathematics

Arianna Irwin

26 May, 21:00

What is the solution to the equation 9^ (x - 2) = 27? x = 2.5 / x = 0.5 / x = - 0.5 / x = 3.5

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Riya Walton · Answer 1

To solve this question rewrite 27 as 3 to power 3. And 9 as 3 to power 2. Then distribute 2 in 3 to the power of 2 to the expression of (X-2). Cancel out 3 base at the end. Then set the equation 2x-4=3. Solving for X gives me 7/2 or 3.5.