To convert the exponential equation $2^5 = 32$ into a logarithmic equation, we use the relationship between exponentials and logarithms, which states:

$a^b = c \quad \Rightarrow \quad \log_a(c) = b$

For this equation:

• The base $a$ is $2$.
• The exponent $b$ is $5$.
• The result $c$ is $32$.

Thus, the logarithmic form is:

$\log_2(32) = 5$

So, you would enter:

$\log_2(32) = 5$

Would you like more details or have any questions?

Here are five related questions to consider:

1. How would you convert $3^4 = 81$ to logarithmic form?
2. What is the logarithmic form of $10^3 = 1000$?
3. Can you write $5^2 = 25$ as a logarithmic equation?
4. How do you solve for $x$ in an equation like $2^x = 64$ using logarithms?
5. What is the relationship between exponential growth and logarithmic scales?

Tip: Remember that logarithms are the inverse operation of exponentiation, converting exponential equations into linear forms.