Question

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Answer 1

Rewriting we have:
 (1/36) ^ n = 216
 We use log function:
 log ((1/36) ^ n) = log (216)
 For log properties we have:
 nlog ((1/36)) = log (216)
 n = log (216) / log ((1/36))
 n = -1.5
 Rewriting we have that the value of n is:
 n = -3 / 2
 Answer:
 n = -3 / 2
 option 2

Answer 2

Answer:
-3/2

Explanation:
The given is:
(1/36)^n = 216

Take log base 6 both sides:
log base 6 of (1/36)^n = log base 6 of (216)
log base 6 of (1/6)^2n = log base 6 of (1/6)^-3
2n * log base of (1/6) = -3 * log base 6 of (1/6)
This means that:
2n = -3
n = -3/2

Hope this helps :)