Use the rules of logarithm:
1. log(x)+log(y)=log(xy)
log(x)-log(y)=log(x/y)
2. k*log(x) = log(x^k)
log(x)/k = log(x^(1/k))
<span>log(2z)+2log(2x)+4log(9y)+12log(9x)−2log(2y)
=</span>log(2z)+log(4x^2)+log(9^4y^4)+log(9^12x^12)−log(4y^2)
=log(2z)+log(4x^2)+log(6561y^4)+log(282429536481x^12)−log(4y^2)
=log(59296646043258912 * x^14 * y^6 * z)
<span>7x - 2 = 2y
7x = 2y + 2
so
</span>7x = 2y + 2<span>
3x = 2y - 1
----------------subtract
4x = 3
x = 3/4
</span>7x - 2 = 2y
7(3/4) - 2 = 2y
21/4 - 2 = 2y
21/4 - 8/4 = 2y
13/4 = 2y
so
y = 13/4 * 1/2
y = 13/8
answer
<span>(3/4, 13/8)</span>
15^2 + 8^2 = 225 + 64 = 289
square root 289 = 17
answer
<span>length of the hypotenuse of the triangle = 17 cm (3rd choice)</span>
Answer:
Step-by-step explanation:
❗️URGENT NEED ASAP❗️
Given functions,
f(x) = -5x – 14 g(x) = -02 + 9x - 1
find f(9) + g(-2)