4.4.4 Logarithms Equation – Example 4 & 5

Example 4
Solve the following equation :
(a)

\log_{9} (x - 2) = \log_{3} 2

$\log_{9} (x - 2) = \log_{3} 2$
(b)

\log_{4} x = \frac{3}{2} \log_{2} 3

$\log_{4} x = \frac{3}{2} \log_{2} 3$

Example 5
Solve the following :
(a)

\log_{4} x = 25 \log_{x} 4

$\log_{4} x = 25 \log_{x} 4$
(b)

\log_{2} 5 \sqrt{x} + \log_{4} 16 x = 6

$\log_{2} 5 \sqrt{x} + \log_{4} 16 x = 6$