kitty12joy22 kitty12joy22
  • 24-02-2017
  • Mathematics
contestada

Simplify into one logarithm: 2logx+3logy

Respuesta :

lukyo
lukyo lukyo
  • 24-02-2017
Express

2 log x + 3 log y

as one logarithm.

Apply the "log of.a power" rule for each term:

k log p = log(p^k) (p > 0)

then,

2 log x + 3 log y

= log(x^2) + log((y^3)

Now, use another log rule to bring those terms together:

"The sum of logarithms equals the logarithm of the product."

and you finally get

= log(x^2 * y^3) <----- there it is.

I hope this helps. =)
Answer Link

Otras preguntas

Joseph has recently been hired by a plumbing company. Which training method will most likely be used to train Joseph
| Find the total surface area of the prism. 3 cm 5 cm 8 cm 4 cm 6 cm
Please help me I really need help
The price of one pair of shorts is $45.00. There is a 15% discount if you purchase four or more pairs. What is the total cost, before tax, for six pairs of shor
Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 'of an inch, it is 4 3/4 'inches. a) What is the largest the act
Read the excerpt from a speech that British Prime Minister Winston Churchill made shortly after Japan bombed Pearl Harbor. What is Churchill’s intention with th
collagen is living or nonliving?
A small rodent lives in an area where the average temperature has been increasing drastically over a very short period of time. As a result, this species of rod
what events led to the reunification of Germany
What does the author mean by the phrase, "The dust did scoop itself like hands"?