Write the following expression as a single logarithm with coefficient 1.log3(6c) + log3112
To write the given expression as a single logarithm, we will make use of the log multiplication rule:
logₐ(b) + logₐ(c) = logₐ(b * c)
Applying this rule to the given expression:
log₃(6c) + log₃(112)
We can combine the two logarithms into a single logarithm:
log₃(6c * 112)
Simplifying the expression:
log₃(672c)
Therefore, the given expression, log₃(6c) + log₃(112), can be written as a single logarithm with coefficient 1 as log₃(672c)
To write the given expression as a single logarithm, we will make use of the log multiplication rule:
logₐ(b) + logₐ(c) = logₐ(b * c)
Applying this rule to the given expression:
log₃(6c) + log₃(112)
We can combine the two logarithms into a single logarithm:
log₃(6c * 112)
Simplifying the expression:
log₃(672c)
Therefore, the given expression, log₃(6c) + log₃(112), can be written as a single logarithm with coefficient 1 as log₃(672c).
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