Respuesta :

Logarithmic Equations

Some equations require the application of the properties of logarithms to solve.

We need to recall the following basic property:

[tex]\begin{gathered} Given\colon \\ \log _ba=p \\ \text{Then:} \\ b^p=a \end{gathered}[/tex]

We are given the equation:

[tex]\log _6x=2[/tex]

Applying the property written above:

[tex]6^2=x[/tex]

Or, equivalently:

x = 36

Answer: 1) 36