To solve the equation:

\[
-2\log_2(y) = 0
\]

1. First, divide both sides by \(-2\):

\[
\log_2(y) = 0
\]

2. Recall that \(\log_2(y) = 0\) implies that \(y\) is the number such that \(2^0 = y\). Therefore:

\[
y = 2^0 = 1
\]

Thus, the solution is:

\[
y = 1
\]

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How do you solve logarithmic equations with different bases?
2. What happens if the logarithm has a negative coefficient?
3. How do you convert logarithms from one base to another?
4. What are the properties of logarithms that help simplify equations?
5. How do you handle equations with multiple logarithmic terms?

**Tip**: Always remember that \(\log_b(x)\) equals the exponent needed to raise the base \(b\) to get \(x\).

Learn how to solve the logarithmic equation -2log2(y)=0 step-by-step. This problem involves logarithm properties and solving equations. Suitable for high school students in Grades 9-12.

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