Question

What is the missing exponent in the following equation?

h450h? = h215(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The missing exponent in the equation is 2.

Answer 2

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

To find the missing exponent, we can equate the bases of the numbers on both sides of the equation:

h450h? = h215

Since the base "h" is the same on both sides, we can equate the exponents:

450 + ? = 215

To solve for ?, we subtract 450 from both sides of the equation:

? = 215 - 450

Simplifying the right side:

? = -235

Therefore, the missing exponent is -235.

Answer 3

[AI-generated answer — Explain Bot]

To identify the missing exponent in the equation h450h? = h215, we need to use logarithms.

1. Start by taking the logarithm of both sides of the equation using a common base, such as logarithm base 10 (log) or natural logarithm (ln).
log(h450h?) = log(h215)

2. Apply the properties of logarithms to simplify the equation. One property states that the logarithm of a product is equal to the sum of the logarithms of each term.
log(h450) + log(h?) = log(h215)

3. Now, evaluate the logarithms using the given values.
log(450) + log(h?) = log(215)

4. Since the logarithm of a specific number can be computed, we need to find the logarithms of 450 and 215 using a calculator or logarithmic tables.

Let's suppose log(450) = x and log(215) = y.
Then the equation becomes: x + log(h?) = y.

5. Rearrange the equation to solve for the missing exponent, log(h?).
log(h?) = y - x

6. Finally, compute the value of log(h?) by subtracting x from y using the values obtained in step 4.
log(h?) = y - x

After finding the value of log(h?), you can convert it back to an exponent form, if needed.