Question

M=216\n^0.5

n when m=24

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the value of n when m=24, we can use the equation M=216^(1/2) and substitute for M.

M = 216^(1/2)
24 = 216^(1/2)

We can rewrite this equation as:

24^2 = 216

Now, let's square both sides of the equation:

(24^2)^2 = 216^2

576 = 46,656

Since this equation is not true, it means that there is no value of n when m=24 that satisfies the equation M=216^(1/2).

Answer 3

[AI-generated answer — Explain Bot]

To find the value of n when m equals 24, let's first evaluate the expression M = 216 √n.

Given that M = 216 and we need to solve for n when M = 24, we can set up the equation:

24 = 216 √n

To solve for n, we need to isolate the variable on one side of the equation. To do that, we need to eliminate the square root symbol (√). We can eliminate the square root by squaring both sides of the equation:

(24)^2 = (216 √n)^2

576 = (216 √n)^2

Now we can simplify the equation:

576 = 46656n

Divide both sides of the equation by 46656 to solve for n:

n = 576 / 46656

Simplifying the right side gives:

n = 0.012345679...

So, when M equals 24, n is approximately equal to 0.012345679.