The exponential equation you provided is:

$10^2 = 100$

To convert this into a logarithmic equation, the general rule is:

$b^y = x \quad \text{becomes} \quad \log_b(x) = y$

In your case:

• $b = 10$
• $y = 2$
• $x = 100$

Thus, the logarithmic form of the equation is:

$\log_{10}(100) = 2$

Would you like further clarification on how logarithms work, or would you like to practice with other examples?

Here are five related questions for you:

1. Convert $2^3 = 8$ into a logarithmic equation.
2. What is the inverse relationship between exponential and logarithmic equations?
3. How do you solve logarithmic equations like $\log_2(x) = 3$?
4. What is the common logarithm (log base 10) of 1000?
5. How do you evaluate $\log_5(25)$?

Tip: Remember, logarithms are the inverse operations of exponentials. So, to convert between them, think of how each equation represents the "undoing" of the other.