# Logarithmic Equations Reducible to Quadratic | Math Online Tutoring

Logarithmic Equations Reducible to Quadratic of Math Online Tutoring is based on the basic properties of logarithms such as;
$$\displaystyle \log_{a}{b} = \frac{1}{\log_{b}{a}} \\ \log_{a}{b} = \frac{\log_{c}{b}}{\log_{c}{a}} \\$$
Let’s try to the following examples.

## Practice Questions for Logarithmic Equations Reducible to Quadratic

### Question 1

Solve $$2 \log_{2}{x} – 9 \log_{x}{2} = 3$$.

### Question 2

Solve $$\log{2x} + \log{(x-1)} = \log{(x^2+3)}$$.

### Question 3

Solve $$\log_{2}{(x-5)} = \log_{4}{(x-2)} + 1$$.

### Question 4

Solve $$3 \log_{x}{10} + \log_{10}{x} = 4$$.