12) We first take care of the exponents: log_6 z + log_6 (x^2) - log_6 (y^3). Then we condense into a single expression: log_6 (zx^2 / y^3)
13) 5 + 8log_7 (v + 10) = 298log_7 (v + 10) = 24log_7 (v + 10) = 37^3 = v + 10343 = v + 10v = 333
14) log_5 (x^2) + log_5 (4) = 1log_5 (4x^2) = 15^1 = 4x^25/4 = x^2x = +/- sqrt(5) / 2 = +/-1.1180
*No extraneous solutions here, since the equation only uses x^2, not x.
15) -6*12^(b+7) +1 = -6-6*12^(b+7) = -712^(b+7) = 7/6
log 12^(b+7) = log(7/6)(b+7) log 12 = log (7/6)b+7 = log(7/6) / log(12) = 0.06203b = -6.9380
When you are given a point (x1,y1) and slope m the equation is
y-y1=m(x-x1)
given
slope=7
(x,y)
(3,22)
x1=3
y1=22
y-22=7(x-3) is the equation or
y=7x+1
Answer:
x = -3/4
Step-by-step explanation:
Simplify the equation.
5x - 3(3x + 7) = y
5x - 3*3x + 7 *(-3) = y {Distributive rule}
5x - 9x - 21 = y
Combine like terms
-4x - 21 = y
Now, substitute the value of y = -18
-4x - 21 = -18
Add 21 to both sides
-4x = -18 + 21
-4x = 3
Divide both sides by -4
x = -3/4
If x+4=y, then x+12=3y because 4 (3)=12