Question

(3.) How do you find the missing exponent? (1 point)%0D%0A%0D%0A1 point%0D%0ASubtract 113 from 350 to get 237%0D%0AAdd 350 to 113 to get 463%0D%0Amultiply 350 and 113

Answer 1

It does involves exponentiation in the context of the numbers you're working with.

Answer 2

no i am trying how to find the missing exponent

Answer 3

To find a missing exponent in an equation where you have a base and an outcome, you typically need to do the following steps:

1. **Set up the equation**: Identify what the base and the exponent are in the given problem.

2. **Use logarithms**: If the equation is in a form like \( a^x = b \), where \( a \) is the base, \( b \) is the result, and \( x \) is the exponent you're trying to find, you can take the logarithm of both sides.

3. **Solve for \( x \)**: Rewrite the equation using logarithms, \( x = \log_a(b) \), where \( \log_a \) is the logarithm with base \( a \).

4. **Calculate**: Use a calculator to compute the logarithm to find the value of the exponent \( x \).

For example, if you need to find \( x \) in \( 3^x = 27 \):

1. Rewrite it as \( x = \log_3(27) \).
2. Since \( 27 = 3^3 \), we have \( x = 3 \).

In the case of the information you've provided (subtracting, adding, multiplying), it does not directly relate to finding a missing exponent unless the situation involves exponentiation in the context of the numbers you're working with.

If you have a specific equation or context involving exponents, please provide that for a more targeted approach.

Answer 4

Thank you for the clarification! Let's figure out how to find a missing exponent in the context of the numbers you provided: 350 and 113.

To determine if there's an exponent relationship, we need to find an equation that relates these numbers:

1. **Identify Potential Relationships**: You might be asked to find \( x \) in expressions such as
- \( 113^x = 350 \)
- \( 350^x = 113 \)

2. **Using Logarithms**: Let's assume we're solving the first equation, \( 113^x = 350 \):
\[
x = \log_{113}(350)
\]

You can convert this to base 10 or natural logarithm for calculation:
\[
x = \frac{\log(350)}{\log(113)}
\]

3. **Calculate**: Using a calculator:
- Find \( \log(350) \) and \( \log(113) \).
- \( \log(350) \approx 2.5441 \)
- \( \log(113) \approx 2.0539 \)
- Then,
\[
x \approx \frac{2.5441}{2.0539} \approx 1.2374
\]

So, if you were trying to solve \( 113^x = 350 \), the missing exponent \( x \) would be approximately 1.24.

4. **For Other Relationships**: If you had a different equation in mind, such as \( 350^x = 113 \), you would follow the same steps:
\[
x = \log_{350}(113) = \frac{\log(113)}{\log(350)}
\]
And you would find \( x \) accordingly.

If you have a specific equation where you suspect there is a missing exponent, feel free to give it, and I can help solve it further!

Answer 5

If you want to find a missing exponent in an equation or context, here’s a structured way to approach it with examples.

### Common Methods to Find Missing Exponents:

1. **Using Exponential Equations**:
If you have a direct equation like:
\[
a^x = b
\]
where \( a \) and \( b \) are known, and you want to find \( x \):

- **Take logarithms**:
\[
x = \log_a(b)
\]
- You can also use change of base:
\[
x = \frac{\log(b)}{\log(a)}
\]

**Example**: Find \( x \) in \( 2^x = 8 \):
- Recognizing that \( 8 = 2^3 \):
\[
x = 3
\]
- Alternatively:
\[
x = \log_2(8) = \frac{\log(8)}{\log(2)} = \frac{3}{1} = 3
\]

2. **If you Have a Context** (like the numbers 350 and 113):
Assuming you are trying to find an exponent that relates these two numbers, for instance, if you suspect that \( 113^x = 350 \):
- Use logarithms:
\[
x = \log_{113}(350) = \frac{\log(350)}{\log(113)}
\]

3. **Equations in the Form \( x^a = b \)**:
If you know the base and the result:
\[
x^a = b
\]
Re-arranging gives you:
\[
x = b^{1/a}
\]

**Example**: Find \( x \) in \( x^3 = 27 \):
- Take the cube root:
\[
x = 27^{1/3} = 3
\]

4. **Using Properties of Exponents**:
- When manipulating expressions, recall:
\[
a^m \cdot a^n = a^{m+n}
\]
- If you have \( a^x \cdot a^y = a^z \), you can find \( x \) by solving:
\[
x + y = z
\]

5. **Example Context Problem**:
Given \( 113^x = 350 \):
- Convert it to logarithmic form as stated before:
- If you calculate:
\[
x = \frac{\log(350)}{\log(113)} \approx 1.2374
\]

### Summary:

To find a missing exponent:

1. Identify if the situation calls for solving an equation with exponents.
2. Use logarithmic transformations.
3. Remember to work with context-specific relationships if applicable.
4. Calculate using a calculator for precise values.

If you have a specific problem involving 350 and 113 that might relate to exponents, please share that specific situation, and I'd be happy to help!