Write x log a+ y log b - log c as a single logarithm *
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Answered by
0
Answer:
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Answered by
2
Step-by-step explanation:
log
(
a
2
b
c
3
d
)
Explanation:
First, bring the multiplicative constants into the logarithmic expressions using the rule:
n
log
x
=
log
(
x
n
)
Thus, we obtain:
=
log
(
a
2
)
+
log
b
−
log
(
c
3
)
−
log
d
We now use the rule that combines added logarithms through multiplication of their arguments:
log
m
+
log
n
=
log
(
m
n
)
Applying this to
log
(
a
2
)
and
log
b
, this yields;
log
(
a
2
b
)
−
log
(
c
3
)
−
log
d
Opposite to adding, subtracted logarithms can have their arguments divided, in the rule:
log
m
−
log
n
=
log
(
m
n
)
This gives the final answer of
=
log
(
a
2
b
c
3
d
)
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