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Problem
Problem
A line
x
=
λ
x = \lambda
x
=
λ
intersects the graph of
y
=
log
5
x
y = \log_5 x
y
=
lo
g
5
x
and
y
=
log
5
(
x
+
4
)
y = \log_5(x + 4)
y
=
lo
g
5
(
x
+
4
)
. The distance between the points of intersection is 0.5. Given
λ
=
a
+
b
\lambda = a + \sqrt{b}
λ
=
a
+
b
, where
a
a
a
and
b
b
b
are integers, the value of
(
a
+
b
)
(a + b)
(
a
+
b
)
is
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