Work out the base used and then find the missing figure.
3**2+2351=10033
well, you have 10-3 = 2
but the base can't be 5 (why?)
so try base 6.
Please
To find the base used in this equation, we need to determine the number of digits in the base.
Let's start by analyzing the number on the left side of the equation, 3**2. The notation "3**2" represents "3 raised to the power of 2." Therefore, 3**2 is equal to 3^2, which is 3 multiplied by itself. Thus, 3**2 = 3 * 3 = 9.
Now, let's focus on the number on the right side of the equation, 10033. The number of digits in this number can give us a clue about the base used.
To find the number of digits in a number, we can take the logarithm of the number using the base we want to find. In this case, we want to find the base, so we can use the common logarithm (base 10).
Using the logarithm formula, we can solve for the number of digits:
log(base b) 10033 = number of digits
log(base 10) 10033 ≈ 4.000015843
Since the logarithm calculation is approximately 4, we can conclude that the base used is likely 10. This is because logarithms with a base of 10 correspond to the number of digits in a number when rounded down.
Now, let's find the missing digit.
By subtracting 9 from 10033, we can isolate the missing number.
10033 - 9 = 10024
Therefore, the missing figure is 10024 when using the base 10.
To find the base used and the missing figure in this equation, we need to understand that the notation "3**2" represents raising the base number 3 to the power of 2.
Let's break down the equation and solve it step-by-step:
Step 1: Start by calculating 3**2. This means raising 3 to the power of 2:
3**2 = 3 * 3 = 9
Now, the equation becomes:
9 + 2351 = 10033
Step 2: To find the missing figure, we need to isolate it on one side of the equation. In this case, we subtract 2351 from both sides of the equation:
9 + 2351 - 2351 = 10033 - 2351
9 = 7682
Therefore, the missing figure is 7682.
Step 3: To determine the base used, we need to analyze the original equation. Since we raised the base number 3 to the power of 2, the base used is 3.
In conclusion, the base used in the equation is 3, and the missing figure is 7682.