If you want to solve for x, then the answer is x = 6*sqrt(2) where "sqrt" is shorthand for "square root"
Explanation:
All logs below are base 4
log(5) - log(18) = log(20) - 2*log(x)
log(5) - log(18) = log(20) - log(x^2)
log(5/18) = log(20/x^2)
5/18 = 20/x^2 ... raise both sides as exponents (base = 4); logs cancel
5x^2 = 18*20 ... cross multiply
5x^2 = 360
x^2 = 360/5 ... divide both sides by 5
x^2 = 72
x = sqrt(72) ... see note below.
x = sqrt(36*2)
x = sqrt(36)*sqrt(2)
x = 6*sqrt(2)
note: we only consider the positive solution for x because x cannot be negative. We cannot input negative x values into log(x). The domain of log(x) is x > 0. So we don't consider "plus/minus" for the square root.
Answer:
Step-by-step explanation:
f(x) =2x - 7
f( - 3) = 2( - 3) - 7 = - 13
f(3) = 2(3) - 7 = - 1
f(a) = 2a - 7
- f(a) = - (2a - 7) = 7 - 2a
f(a + h) = 2(a + h) - 7 = 2a + 2h - 7
Answer:
x = 17 y= -38
Step-by-step explanation:
x + y = -21
y = x - 55
It doesn't matter whether x or y is 55 less than the other right now.
<u>substitute for y:</u>
x + x - 55 = -21
<u>solve for x:</u>
2x = 34
x = 17
<u>solve for y:</u>
17 + y = -21
y = -38
The answer is
A. 1.7320508