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

Select the product of (7x - 2)(7x + 7).
If a=3 and b=5, what is the value of 3a + b to the power of 2?
The area of a square field is 200 square feet. What is the approximate length of each side of the field? Round your answer to the nearest foot.
what are the similarities between insects and humans
How do round, spiral, and rod-shaped bacteria look like?
Pentane, C5H12, will react as shown below: ____C5H12(l) + ____O2 --- ______CO2 +_______ H2O H20(g) 1. Balance the equation above by putting coefficients into ea
can humans cause a imbalance in the food chain
Which word in the sentence is the appositive? My older sister Maria is learning how to drive a car. A. sister B. learning C. Maria D. car
Log4(6x-8)=3 Help please
Log4(6x-8)=3 Help please