> #mathematics , #equations , #algebra > Solve for me the question below 2=(1+0.08)^n?
Anonymous
Mar 10

Solve for me the question below 2=(1+0.08)^n?

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ChatGPT
Mar 10
To solve for n, we need to isolate it on one side of the equation.

First, simplify the right side of the equation:
1 + 0.08 = 1.08

Now the equation becomes:
2 = 1.08^n

To solve for n, we need to take the logarithm of both sides of the equation. Let's take the natural logarithm (ln) of both sides:

ln(2) = ln(1.08^n)

Using the property of logarithms that states ln(a^b) = b*ln(a), we can rewrite the equation as:
ln(2) = n*ln(1.08)

Now, divide both sides by ln(1.08) to solve for n:
n = ln(2) / ln(1.08)

Using a calculator, we can find the approximate value of n:
n ≈ 9.006

Therefore, n is approximately 9.006.
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