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

Need step by step explanation please.
mom leaves kid outside a bar, in the rain, to drink beer. a) what common linguistic vice is the expression suffesing from?explain
PLS HELP FAST!! 50 POINTS AND BRAINLEYIST FOR WHOEVER ANSWERS THIS FASTEST. In one to two sentences, describe the characteristics of a high-pressure system. In
What is the setting of chp 5?
help asap please! what happens when electromagnetic waves go through a medium?
Given the velocity v= ds dt and the initial position of a body moving along a coordinate line, find the body's position at time t
Examples of ________, which is hosted on a web site, include e-mail, word processing, tax preparation, and game programs.
Select all the options with 32,749 written in expanded form
HELP!!! The diameter of a circular wall hanging is 4 ft. What is the area of the wall hanging to the nearest tenth? Use 3.14 for π. A: 3.1 ft2 B: 12.6 ft2 C:
this class the only class that does not report my memes so i thank you guys for that