kennethsangler kennethsangler
  • 03-04-2021
  • Mathematics
contestada

Show that solving the equation 3^2x=4 by taking common logarithms of both sides is equivalent to solving it by taking logarithms of base 3 of both sides.

Respuesta :

altavistard
altavistard altavistard
  • 03-04-2021

Answer:

Step-by-step explanation:

Case I:  use common logs:

 2x log 3 = log 4, or 2x(0.47712) = 0.60206

 Solving for x, we get 0.95424x = 0.60206, and then x = 0.60206/0.95424.

 x is then x = 0.631

Case II:  use logs to the base 3:

 2x (log to the base 3 of 3) = (log to the base 3 of 4)

 This simplifies to 2x(1) = 2x = (log 4)/log 3 = 1.262.  Finally, we divide this

 result by 2, obtaining x = 0.631

Answer Link

Otras preguntas

what is the simplest square root of 1345? no decimals please
Graph the line using intercepts: 4x-3y=12
how is the expression of sex linked genes both  similar to and different from the expression of autosomal genes?
What is a communicable disease ?
Fragment in this sentenceWith her heavy dictonary, Donna thumps the top other ancient computer monitor.  Whenever the color tint flickers from normal to sickly
What's a good slogan for a dietitian (have dietitian in it) ?
1.    How does the friction affect forward motion? Give an example. 2.    Describe two ways to change the frictional force between two solids surfaces. Change t
How do you work out the problem 84 divided by4
1.    How does the friction affect forward motion? Give an example. 2.    Describe two ways to change the frictional force between two solids surfaces. Change t
How did the Declaration of Independence change the nature of the American Revolution?