Question

Error Analysis: Describe and correct the error made in solving the equation.

Answer 1

\[ log_{2} x=2 log_{3}9\]
\[ log_{2}x=2log_{3}3^2\]
\[log_{2}x=2 \times 2 log_{3}3\]
\[log _{2}x=4 \times 1\]
\[log _{2}x=4 \]
\[log_{2}x=4\]
\[2^4=x\]
x=16

Answer 2

\[log_{x}x=1\]
as \[x^1=x\]
\[log_{a}x=b\]
\[a^b=x\]