solve:log(3x+1)=1
please answer me it's argent
Answers
Answer:
the answer is 100% correct pls mark as brainliest...
Step-by-step explanation:
log
(
3
x
+
1
)
=
1
+
log
(
2
x
−
1
)
log
(
3
x
+
1
)
=
log
(
10
)
+
log
(
2
x
−
1
)
since
log
(
10
)
=
1
log
(
3
x
+
1
)
=
log
(
10
(
2
x
−
1
)
)
Product rule of logarithms
3
x
+
1
=
10
(
2
x
−
1
)
if logA = log B then A= B
3
x
+
1
=
20
x
−
10
distributive law
Now we have to solve for x using inverse operaitions to isolate x.
3
x
+
1
+
10
=
20
x
−
10
+
10
Adding 10 on both sides would remove
10
from the right side of the equation
3
x
+
11
=
20
x
3
x
+
11
−
3
x
=
20
x
−
3
x
Subtracting
3
x
on both sides would isolate the term containing
x
to one side of the equation.
11
=
17
x
Dividing both sides by 17 we get
11
17
=
17
x
17
11
17
=
x
x
=
11
17
Answer
Answer:
5 is a answer
Step-by-step explanation:
3×1=3
3+1=4
4+1=5
ans 5