1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Integration of Piecewise Continuous Functions
Find the valu...
Question
Find the value of
x
which satisfies,
x
+
log
10
(
1
+
2
x
)
=
x
log
10
5
+
log
10
6
.
Open in App
Solution
Given
x
+
log
10
(
1
+
2
x
)
=
x
log
10
5
+
log
10
6
⇒
x
log
10
10
+
log
10
(
1
+
2
x
)
=
x
log
10
5
+
log
10
6
…
(
l
o
g
a
a
=
1
)
We know that
log
a
m
+
log
a
n
=
log
a
m
n
log
a
m
n
=
n
log
a
m
⇒
log
10
10
x
+
log
10
(
1
+
2
x
)
=
log
10
5
x
+
log
10
6
⇒
10
x
(
1
+
2
x
)
=
6
⋅
5
x
⇒
2
x
(
1
+
2
x
)
=
6
⇒
2
x
+
2
2
x
−
6
=
0
Let
2
x
=
t
⇒
t
2
+
t
−
6
=
0
⇒
(
t
+
3
)
(
t
−
2
)
=
0
After solving the above equation, we get
2
x
=
−
3
(not possible)
Or
2
x
=
2
⇒
x
=
1
Suggest Corrections
0
Similar questions
Q.
Number of real values of
x
satisfying
x
+
log
10
(
1
+
2
x
)
=
x
log
10
5
+
log
10
6
is
Q.
If
x
+
log
10
(
1
+
2
x
)
=
x
(
log
10
5
+
log
10
6
)
, then the value of
x
is
Q.
Solve for
x
, if
x
+
log
10
(
1
+
2
x
)
=
x
log
10
5
+
log
10
6
Q.
If
x
+
log
10
(
1
+
2
x
)
=
x
log
10
5
+
log
10
6
then
x
is equal to
Q.
If
log
10
(
1
2
x
+
x
−
1
)
=
x
(
log
10
5
−
1
)
, then the value of
x
will be
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Integration of Piecewise Functions
MATHEMATICS
Watch in App
Explore more
Integration of Piecewise Continuous Functions
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app