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Previous Year Question (PYQs)
2
Find the number of solutions of the equation
$4(x - 1) = \log_2(x - 3)$
Solution
Domain: $x - 3 > 0 \Rightarrow x > 3$
Let $f(x) = 4(x - 1)$ and $g(x) = \log_2(x - 3)$
For $x > 3$, $f(x)$ is linear and increasing rapidly, while $g(x)$ grows slowly.
Graphically, they intersect once.
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