solve for x:
iv) log (x + 1) – log (x - 1) = 1
Answers
Answered by
1
Answer:
Since the logs are in the same base already, we can use the rule
log
a
b
−
log
a
c
=
log
a
(
b
c
)
Explanation:
log
(
x
+
1
)
−
log
(
x
−
1
)
=
1
log
(
x
+
1
x
−
1
)
=
1
Since this is a base 10, we can now convert to exponential form.
(
x
+
1
x
−
1
)
=
10
1
x
+
1
=
10
(
x
−
1
)
x
+
1
=
10
x
−
10
1
+
10
=
10
x
−
x
11
=
9
x
11
9
=
x
Answered by
2
Answer:
- x=11/9
Step-by-step explanation:
log(x+1)-log(x-1)=1
log((x+1)/(x-1))=1
This is a base of 10
(x+1)/(x-1)=10^1
x+1=10(x-1)
11=9x
11/9=x
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