Answer:
x = 1 , -6
Step-by-step explanation:
given,
ln (x + 2) = ln (12) − ln (x + 3)
using identity of logarithm
ln (ab) = ln (a) + ln (b)
ln (a) - ln(b) = ln (a/b)
now
ln (x + 2) = ln (12) − ln (x + 3)
ln (x + 2) = ![ln (\dfrac{12}{x+3})](https://tex.z-dn.net/?f=ln%20%28%5Cdfrac%7B12%7D%7Bx%2B3%7D%29)
on comparing
![x + 2 = \dfrac{12}{x+3}](https://tex.z-dn.net/?f=x%20%2B%202%20%3D%20%5Cdfrac%7B12%7D%7Bx%2B3%7D)
(x+2)(x+3) = 12
x² + 5 x + 6 = 12
x² + 5 x - 6 = 0
x² + 6 x - x - 6 = 0
x(x + 6) -1 (x+ 6) = 0
(x - 1)(x + 6) = 0
x = 1 , -6
Hence, the value of x comes out to be x = 1 , -6
Answer:
506.7 cm²
Step-by-step explanation:
The amount of cardboard needed would be the surface area of the cone,
S= pi(r)(l+r) where r is the radius and l is the slant height.
You can find l using the Pythagorean theorem. l²=r²+h² which is l²=6²+20² and you get l = √436.
Plug r and l into the equation: S = 6pi(√436 + 6) = 506.7 cm²
Let me know if you have any questions about my steps!
The domain will be the set of natural numbers.
The graph will show exponential decay.