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Basic of Logarithms
easy
The number of solution of ${\log _2}(x + 5) = 6 - x$ is
A
$2$
B
$0$
C
$3$
D
None of these
Solution
(d) ${\log _2}(x + 5) = 6 – x$$ \Rightarrow $$x + 5 = {2^{6 – x}}$$ \Rightarrow $$x + 5 = {64.2^{ – x}}$
Let $y = x + 5$, $y = {64.2^{ – x}}$ will intersect at one point.
Number of solutions $= 1.$
Standard 11
Mathematics