Question

Solve the following equations:

1) 4e^(2x)+5=17

2) e^(2x)-e^x-12=0

3) 2ln(x+1)=18

4) log(3x+2)-Log(4)=log(x+4)

Answer #1

solve the equations
a). 4x-(-3x-3) =2x +1-1/2x+1
b) 8x-x^2=2 solvee by completing square
c) x-2x^2=5 solve by quadraticformula

Derivative for each function
h(x)= x1/4 (x2+1)5
k(x) = (e3x) / (1-e-3x)
m(x) = 2ln (
(x3ex)/(x2-4)1/2)
f(x) = ex^2ln(3-2x)
g(x) = (x2-5x+3)/(2x)

Solve the following equations algebraically. Be sure to check
for extraneous solutions.
A). (9^2x)(1/3)^(x+2) = 27(3^x)^-2
B). 3^x+4 = 2^1-3x
C). log base 3(x-2) + log base 3 (x-4) =2

Find the derivatives of m(x)=2ln((x^(3)e^(x))/(x^(2)-4)^(1/2))
and h(x)=(e^(3x))/(1-e^(-3x))

solve the system of equations
1: y=3x^2-2x-1
2x+3y=2
2: x^2+(y-2)^2=4
x^2-2y=0

i) Simplify the following equations 3(2x – 5) – 2(5x - 7) + 9 =
ii) Solve 3x – 2 divided by 2= 4x - 5 divided by 4 (5marks)
c) Solve the following pairs of simultaneous equations 2x + y =
7 and x - 2y = -1

Use logarithms to solve the following.
(a) log (5x – 1) = log (x + 5)
(b) log x + log(x – 1)= log (5x)
(c) e^(0.4t) = e^8
(d) 3^(5x + 1)= 3^(6 - 3x)

1) Solve these equations: 3x-y=-11
x+2y=8
2) Solve these equations:
x+y+z=6
x-y-z=-4
2x+y-4z=-8

Find all the real roots of 6x^5 -x^4 + 2x^3 -3x^2 + 2x -18

Solve using Gaussian Elimination with back subsitution:
3x(1) - 2x(2) + x(3) =3
2x(1) + 4x(2) - 2x(3) = 2
4x(1) - 2x(2) - 3x(2) = -12

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