find n if 142n=47 base 10

To solve for n, divide both sides of the equation by 142:

142n / 142 = 47 / 142

Simplifying:

n = 0.3316

Therefore, n ≈ 0.3316

To find the value of n, we need to isolate it in the equation 142n = 47.

Step 1: Divide both sides of the equation by 142.
142n / 142 = 47 / 142.

Simplifying:
n = 47 / 142.

Step 2: Calculate the value of 47 divided by 142.
n ≈ 0.3309859155 (rounded to decimal places).

Therefore, the value of n is approximately 0.3309859155.

To find the value of n in the equation 142n = 47 (in base 10), we need to isolate the variable n.

Here's the step-by-step solution:

1. Start by subtracting 47 from both sides of the equation: 142n - 47 = 0.

2. Now, let's solve for n by isolating the variable. In this case, the equation is in the linear form, so we can use the division property of equality.

Divide both sides of the equation by 142:
(142n - 47) / 142 = 0 / 142.

This simplifies to: n - (47/142) = 0.

3. Finally, calculate the value of n by adding (47/142) to both sides of the equation:
n = 47/142.

Therefore, the value of n, in base 10, is equal to 47/142.