The equation $y = \log_b(x)$ is asking to convert it to an exponential form. The general rule for converting a logarithmic equation to its exponential form is:

$\log_b(x) = y \quad \text{is equivalent to} \quad b^y = x$

So, in this case, the equation $y = \log_b(x)$ can be rewritten as:

$b^y = x$

Where:

• $b > 0$, and
• $b \neq 1$,
• $x > 0$.

Would you like to go into more detail or have additional questions on this?

Here are some related questions:

1. How can we graph the equation $y = \log_b(x)$ and its exponential counterpart?
2. What is the inverse of the exponential function $b^x$?
3. How can we convert natural logarithms $\ln(x)$ into exponential form?
4. What is the importance of the base $b$ in a logarithmic equation?
5. How do logarithms apply to real-world problems like population growth or financial modeling?

Tip: When converting from logarithmic form to exponential form, always remember that the base of the logarithm becomes the base of the exponential expression.