To solve exponential equations, express both sides with the same base, then set the exponents equal to each other; for example, in 2^(2x+1) = 16, rewrite 16 as 2^4 to get 2x+1 = 4, then solve for x = 1.5.
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This SAT exponent problem is sus. Let's solve it! #shorts #shortsAdded:
This SAT exponent problem looks tricky.
Wait, can we do it? Let's read the question out loud. 2 to the power of 2x + 1 = 16. A lot of students just smash numbers together like it's nothing. They would do the equation 2x + 1 = 16. Stop, that's wrong. Okay, first we need matching bases. 16 is the same as 2 to the fourth power. So now we have 2 to the 2x + 1 = 2 to the fourth. Easy, right? Set the exponents equal. 2x + 1 = 4. Subtract 1 from both sides, then divide by 2. Now you have x = 1.5.
Boo-yah, time for the answer. It's A, 1.5. You got it. Want more SAT hacks?
Click the video below.
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