Preston and Joel are both solving the equation 2x=14. Preston is not sure what to do because he does not know a power of 2 that
equals 14. Joel uses his calculator to graph y=2x and y=14 and find the point of intersection. Will Joel's method work?
1 answer:
Answer:
yes
Step-by-step explanation:
You can always separate an equation into two parts and see where those graphs intersect.
Joel's method works well.
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<em>Additional comments</em>
Preston should know that the invention of logarithms makes it easy to solve equations like this. x = log₂(14) = log(14)/log(2) ≈ 3.8073549.
As for Joel's method, I prefer to subtract the right side to get the equation ...
2^x -14 = 0
Then graphing y = 2^x -14, I look for the x-intercept. Most graphing calculators make it easy to find x- and y-intercepts. Not all make it easy to find points of intersection between different curves.
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∠BCD = arc BAD/2 ⇒ arc BAD = 2*∠BCD = 2*100 = 200°
arc BCD = 360° - arc BAD = 360° - 200° = 160°
∠d = arc BCD/2 = 160/2 = 80°
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