To find the value of n when M = 24, we need to substitute M = 24 into the equation:
M = 216^n
24 = 216^n
To solve for n, we can take the logarithm of both sides of the equation:
log(24) = log(216^n)
Using the property of logarithms, we can bring down the exponent:
log(24) = n * log(216)
Now, divide both sides by log(216):
n = log(24) / log(216)
Using a calculator, we can find that:
n ≈ 0.2934
M=216\n^0.5
n when m=24
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