Solve the logarithmic equation: log3 y + 3/log3 y = 4

here are the solutions to the problems.

: Logarithmic Equation

Step 1: Rewrite the given equation.

$$\log_3 y + \frac{3}{\log_3 y} = 4$$

Step 2: Introduce a substitution to simplify the equation.
Let $u = \log_3 y$. Substitute $u$ into the equation:

$$u + \frac{3}{u} = 4$$

Step 3: Solve for $u$.
Multiply the entire equation by $u$ to eliminate the denominator:

$$u^2 + 3 = 4u$$

Rearrange the terms to form a standard quadratic equation:

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