erinaaazmi
erinaaazmi erinaaazmi
  • 03-07-2020
  • Mathematics
contestada

given
[tex] log(x) = 2 \: and \: log(y) = - 1[/tex]
prove that
[tex]xy - 100y {}^{2} = 9[/tex]

​

Respuesta :

mani82ebra
mani82ebra mani82ebra
  • 05-07-2020

Step-by-step explanation:

[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]

then for y:

[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]

so:

[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]

Answer Link

Otras preguntas

What did Ottoman rulers consider a tax on Christian subjects to be? A.taking young boys to join the Ottoman army B.taking young girls to become seamstresses C.t
How does weathering, erosion, and deposition build up or destroy parts of the sahara desert? answer right for branilest
Simplify a^4 + a^3 + ab
are all americans equally able to become engaged in the government?
In this topic, you will explore light and colour. How does light give objects their colour ? Record your ideas below.
how water is able to dissolve salts such as NaCl. What components and interactions should we include in our system?
I need help with my math worksheet
anyone who's read Aristotle and Dante Discover the Secrets of the Universe, could you please write a brief summary of it? Nothing too detailed, but I've read th
If f(x)=3/x+2-sqrt x-3 complete the following statement: f(19) =
Need the answer ASAP