Answer:
x = -1/2 or x = (2 i π n)/log(36) - 1/2 for n element Z
not sure what you needed but I gave both solutions.
Step-by-step explanation:
Solve for x over the real numbers:
216 = 36^(1 - x)
216 = 36^(1 - x) is equivalent to 36^(1 - x) = 216:
36^(1 - x) = 216
Take reciprocals of both sides:
36^(x - 1) = 1/216
Take the logarithm base 36 of both sides:
x - 1 = -3/2
Add 1 to both sides:
Answer: x = -1/2
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Solve for x:
216 = 36^(1 - x)
216 = 36^(1 - x) is equivalent to 36^(1 - x) = 216:
36^(1 - x) = 216
Take reciprocals of both sides:
36^(x - 1) = 1/216
Take the logarithm base 36 of both sides:
x - 1 = (2 i π n)/log(36) - 3/2 for n element Z
Add 1 to both sides:
Answer: x = (2 i π n)/log(36) - 1/2 for n element Z
