log
(6
)
+
log
(
8
)
−
log
(
2
)
Answer:
Exact Form: ㏒
(
24
)
Decimal Form: 1.38021124
Explanation:
Use the product property of logarithms,
㏒b
(
x) + ㏒b
(
y
) = ㏒b
(
x
y
).
㏒
(
6
⋅
8
)
− ㏒
(
2
)
.
⇒Use the quotient property of logarithms,
㏒
b
(
x
)
−
㏒
b
(
y
)
=
㏒
b
(
x
y
)
.
㏒
(
6
⋅
8/
2
)
⇒Reduce the expression by cancelling the common factors.
Factor 2 out of 6
⋅8
.
log
(
2
(
3
⋅
8
) / 2
)
Divide 3
⋅
8
by 1
.
㏒
(
3
⋅
8
)
Multiply 3 by 8
.
㏒
(
24
)
The result can be shown in both exact and decimal forms.
Exact Form: ㏒
(
24
)
Decimal Form: 1.38021124
