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Answers
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Answer:
ANSWER
\begin{gathered} log \: \frac{ {a}^{3} {b}^{3} }{ {c}^{4} } + log \: \frac{b {c}^{3} }{ {a}^{2} } - log \: \frac{a}{c} \\ \\ = > log {a}^{3} {b}^{2} - log {c}^{4} + log \: b {c}^{3} - log {a}^{2} - ( log \: a - log \: c) \: \\ \\ = > log {a}^{3} + log {b}^{2} - log \: {c}^{4} + log \: b \: + log {c}^{3} - log {a}^{2} - log \: a \: + log \: c \: \\ \\ = > log {a}^{3} + log {b}^{2} + log \: b \: - log {c}^{4} + log {c}^{3} + log \: c \: - log {a}^{2} - log \: a \\ \\ = > log {a}^{3} + log {b}^{3} - log {c}^{4} + log {c}^{4} - log {a}^{3} \\ \end{gathered}
log
c
4
a
3
b
3
+log
a
2
bc
3
−log
c
a
=>loga
3
b
2
−logc
4
+logbc
3
−loga
2
−(loga−logc)
=>loga
3
+logb
2
−logc
4
+logb+logc
3
−loga
2
−loga+logc
=>loga
3
+logb
2
+logb−logc
4
+logc
3
+logc−loga
2
−loga
=>loga
3
+logb
3
−logc
4
+logc
4
−loga
3
Step-by-step explanation: