2016 AMC 10B Problems/Problem 3
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Problem
Let . What is the value of
?
Solution
Substituting carefully,
becomes which is
.
Solution 2
Solution by e_power_pi_times_i
Substitute into the equation. Now, it is
. Since
, it is a positive number, so
. Now the equation is
. This further simplifies to
, so the answer is
Video Solution
~savannahsolver
See Also
2016 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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All AMC 10 Problems and Solutions |
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