Question

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

Answer 1

`\ln 27c^3`

Explanation:

`= 3\ln 3 + 3\ln c`

`= \ln 3^3 + \ln c^3`

`= \ln 3^3c^3`

`= \ln 27c^3`

Answer 2

`ln(27c^3)`

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)`