Respuesta :

Answer:

[tex]ln(27c^3)[/tex]

Step-by-step explanation:

Given: [tex]3ln(3)+3ln(c)[/tex]

If there is a coefficient in front of a [tex]log[/tex] or [tex]ln[/tex], that means it becomes an exponent.

[tex]ln(3^3)+ln(c^3)[/tex]

Simplify the exponent.

[tex]ln(27)+ln(c^3)[/tex]

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

[tex]ln(27c^3)[/tex]

Answer:

[tex] \ln 27c^3 [/tex]

Step-by-step explanation:

[tex] = 3\ln 3 + 3\ln c [/tex]

[tex] = \ln 3^3 + \ln c^3 [/tex]

[tex] = \ln 3^3c^3 [/tex]

[tex] = \ln 27c^3 [/tex]