Questions: y=log6(x)

Solution Steps

To solve the equation \( y = \log_{6}(x) \), we need to find the value of \( x \) for a given \( y \). The logarithmic equation can be rewritten in its exponential form: \( x = 6^y \). This allows us to compute \( x \) by raising 6 to the power of \( y \).

The given equation is

\[ y = \log_{6}(x) \]

To express \( x \) in terms of \( y \), we convert the logarithmic form to its exponential form:

\[ x = 6^y \]

We are given \( y = 2 \). Substituting this value into the equation gives:

\[ x = 6^2 \]

Now, we compute \( 6^2 \):

\[ x = 36 \]

Final Answer