Question

Write the expression as a single natural logarithm.3In3+3Inc

Answer 1

Answer:

$\ln 27c^3$

Step-by-step explanation:

$= 3\ln 3 + 3\ln c$

$= \ln 3^3 + \ln c^3$

$= \ln 3^3c^3$

$= \ln 27c^3$

Answer 2

Answer:

$ln(27c^3)$

Step-by-step explanation:

Given: $3ln(3)+3ln(c)$

If there is a coefficient in front of a $log$ or $ln$, that means it becomes an exponent.

$ln(3^3)+ln(c^3)$

Simplify the exponent.

$ln(27)+ln(c^3)$

When there is addition between two logarithms or natural logarithms, it means they multiply together.

$ln(27c^3)$