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Mathematics
Problem
For a geometric progression with positive terms, it is given that
log
10
a
2
+
log
10
a
5
=
5
\log_{10} a_2 + \log_{10} a_5 = 5
lo
g
10
a
2
+
lo
g
10
a
5
=
5
and
log
10
a
3
+
log
10
a
7
=
7
\log_{10} a_3 + \log_{10} a_7 = 7
lo
g
10
a
3
+
lo
g
10
a
7
=
7
. Determine the first term
a
1
a_1
a
1
.
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