AmariyonS669474 AmariyonS669474
  • 29-10-2022
  • Mathematics
contestada

If 2 1n x + 1n 5 = 1n 80, then what is the value of x?

If 2 1n x 1n 5 1n 80 then what is the value of x class=

Respuesta :

OlivyaN150357 OlivyaN150357
  • 29-10-2022

Answer: A

Given:

[tex]2\ln x+\ln 5=\ln 80[/tex]

*subtract ln 5 from both sides:

[tex]2\ln x=\ln 80-\ln 5[/tex]

*Divide both sides by 2

[tex]\ln x=\frac{\ln 80-\ln 5}{2}[/tex][tex]\ln x=\frac{\ln (\frac{80}{5})}{2}[/tex][tex]\ln x=\frac{\ln (16)}{2}=\frac{\ln (2^4)}{2}[/tex][tex]\ln x=\frac{4\ln (2)}{2}[/tex][tex]\ln x=2\ln (2)[/tex][tex]\ln x=\ln (2^2)[/tex][tex]\ln x=\ln (4)[/tex][tex]x=4[/tex]

Answer Link

Otras preguntas

what is 83/10 as mixed fractions
A(-3,2) B(5,-4) midpoint is (1,-1) Use the midpoint formula to find endpoint C, such that B is the midpoint of AC. HELPP PLEASE.
which of the following substances diffuses faster in a beaker filled with water  a drop of honey or drop of red ink
In 1700, which of the following colonies had the largest slave population relative to its overall population? A. South Carolina B. Pennsylvania C. Virginia D. M
how does diction affect theme in a story?
The radius of a come is multiplied by 1.6 to create a radio is of a new cone with the same height . The volume of the new cone is what?
Who is the patron saint of Scotland?
Solve the equation. X^2-6x+6=0
Suppose there are 3 red balls, 4 blue balls, and 5 black balls. What?s the minimum number of balls you have to draw to ensure you have at least one ball in ever
after raining when do rain drops dry away easily on a cloudy day or on a sunny day? explain