## 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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