danika44
danika44 danika44
  • 02-02-2021
  • Mathematics
contestada

Write the expression 2 in3 + in8 as a single natural logarithm.

Respuesta :

elcharly64
elcharly64 elcharly64
  • 02-02-2021

Answer:

[tex]2\ln 3+\ln 8=\ln 72[/tex]

Step-by-step explanation:

Logarithms

Some properties of the logarithms are:

[tex]\ln xy = \ln x+\ln y[/tex]

[tex]\ln x^n=n\ln x[/tex]

We have:

[tex]2\ln 3+\ln 8[/tex]

Applying the exponent property:

[tex]2\ln 3+\ln 8=\ln 3^2+\ln 8=\ln 9+\ln 8[/tex]

Applying the product property:

[tex]2\ln 3+\ln 8=\ln (9*8)=\ln 72[/tex]

[tex]\boxed{2\ln 3+\ln 8=\ln 72}[/tex]

Answer Link

Otras preguntas

What will be the result from running the following program? print("Grades") print(100) print(93) print(82) print("Total") print(100+93+82)
Triangle ABC is an isosceles triangle and gle B measures 28.5 degrees. What is measurement of the other two angles?​
1000 milliliters is equivalent to ____ cups
Acróstico de ecosistema
Which of the following are exterior angles? Check all that apply. 6 5/4 1 2
Which number line represents the solution set for the inequality -4(x + 3) ≤-2-2x? ++ -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 O -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
i need the answer quickly
whats a good claim for saying no to bullying? i need it asap!
Which is not one of the nace career readiness competencies?.
71. Before businesses can effectively use relevant data, they need to determine the type of A. information that is needed. B. computer system to purchase. C. re