If you are writing in slope-intercept form:
You first find the slope.
Put the slope in the equation.
Substitute any point into the equation and find the y-intercept.
You can take the log of the left and right hand side, and then apply the <span>logarithm rules:
log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)
log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)
simplifying by writing log9 = 2log3 and log6 = log2+log3
x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) =
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)
So 6^x = 4/9
7x - 5 = 30
* add 5 to both sides
7x = 30 + 5
7x = 35
* divided both sides by 7
(7/7)x = 35/7
<u><em>x = 5</em></u>
Answer:
150 x - 80 y + 50 - 50 x - 25 y + 20
<em><u>Arranging </u></em><em><u>like </u></em><em><u>terms </u></em>
150 x - 50 x -25 y - 80y + 50 + 20
100x - 105 y + 70
<h3>5 ( 20x - 21y + 14) </h3>
Answer:
x=10/-3, 4/5
Step-by-step explanation:
f(x) = (10 - 3x)(4 - 5x)
10-3x=0
-3x=-10
x=10/3
4 - 5x = 0
-5x = -4
x = 4/5
