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NDA Math Logarithmic Functions
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© examsnet.com
Question : 13
Total: 16
If
x
+
log
15
(
1
+
3
x
)
=
x
log
15
5
+
log
15
12
where x is an integer, then what is x equal to?
[NDA I 2018]
−
3
2
1
3
Validate
Solution:
x
+
log
15
(
1
+
3
x
)
=
x
log
15
5
+
log
15
12
⇒
log
15
15
x
+
log
15
(
1
+
3
x
)
=
log
15
5
x
+
log
15
12
⇒
log
15
15
x
(
1
+
3
x
)
=
log
15
(
5
x
×
12
)
⇒
15
x
(
1
+
3
x
)
=
5
x
×
12
⇒
3
x
+
3
2
x
=
12
⇒
x
=
1
© examsnet.com
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