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 \( 3 \log_{x}{10} + \log_{10}{x} = 4 \).

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