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Mathematics
Mathematics
Problem
Number of solutions of the equation
log
10
(
5
cos
−
1
x
−
1
)
+
1
2
log
10
(
2
cos
−
1
x
+
3
)
\log_{10}(\sqrt{5}\cos^{-1}x - 1) + \frac{1}{2}\log_{10}(2\cos^{-1}x + 3)
lo
g
10
(
5
cos
−
1
x
−
1
)
+
2
1
lo
g
10
(
2
cos
−
1
x
+
3
)
+
log
10
5
=
1
+ \log_{10}\sqrt{5} = 1
+
lo
g
10
5
=
1
is a. 0 b. 1 c. more than one but finite d. infinite
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