Question

In: Math

Solve the exponential equations a) log4(x-4) + log4(x-10) = 2 b) (1/4)x = 18 c) 34x-1...

Solve the exponential equations

a) log4(x-4) + log4(x-10) = 2

b) (1/4)x = 18

c) 34x-1 = 14

Solutions

Expert Solution

b) 4.19 = 18 putting both side in Ion 4 ja 10 (18) xan (t) = 12 (18) x= 10 (18) 100 g) x = 2.89 = -2.08 Sim (18) = 2.89 2 1 - 1039 (Inf) = -1039 . c) 4x 1 - 1 An- putting both side In. In 34 -1 = 12 (14) (4x-1) in 3 = 12 (14). 43-1 = 10 (14) In (3) 40-1 = 20639 =2.40 1.099. 4x = 3.4 x = 3.4 - [x = 3-4 = 0.85 An


Related Solutions

Solve for x -2 < (1/6)(10-x) < 2
Solve for x -2 < (1/6)(10-x) < 2
Solve the following first order differential equations: (a) 2/?^ ???/?? = 4?^2? ; ?(0) = −1/...
Solve the following first order differential equations: (a) 2/?^ ???/?? = 4?^2? ; ?(0) = −1/ 3 (b) ??/?? + ? = ? ; ?(0) = 5 (c) ??/?? + ? /? = ? 3 ; ? ( 1/2 ) = 1
B= {1,x,x^2} B’={1-x^2, x-x^2, 1+2x-x^2} T(a+bx+cx^2) = 3a+b+c+(2a+4b+2c)x + (-a-b+c)x^2 a) by direct calculation , compute...
B= {1,x,x^2} B’={1-x^2, x-x^2, 1+2x-x^2} T(a+bx+cx^2) = 3a+b+c+(2a+4b+2c)x + (-a-b+c)x^2 a) by direct calculation , compute [P]_B’ , p=7-x+2x^2 b) using basis B={1,x,x^2} , compute [T]_B c_ compute [T]_B’
($4.7 Cauchy-Euler Equations): Solve the following Euler-type equations (a)–(c). (a) x^2y''-4xy'-6y=0 (b) x^2y''+7xy'+13y=0 (c) x^2y''+3xy'+y=x
($4.7 Cauchy-Euler Equations): Solve the following Euler-type equations (a)–(c). (a) x^2y''-4xy'-6y=0 (b) x^2y''+7xy'+13y=0 (c) x^2y''+3xy'+y=x
Let X = {1, 2, 3, 4}, Y = {a, b, c}. (1) Give an example...
Let X = {1, 2, 3, 4}, Y = {a, b, c}. (1) Give an example for f : X → Y so that ∀y ∈ Y, ∃x ∈ X, f(x) = y. 1 2 (2) Give an example for f : X → Y so that ∃y ∈ Y, ∀x ∈ X, f(x) = y. (3) Give an example for f : X → Y and g : Y → X so that f ◦ g = IY
Solve the system of equations: x+y^2=6y x-2y=-5
Solve the system of equations: x+y^2=6y x-2y=-5
Solve the following system of equations using the Substitution Method. 1.x + 3y = – 2...
Solve the following system of equations using the Substitution Method. 1.x + 3y = – 2 5x + 15y = 0 2. x – 4y = 10 3x – 2y = 10 3. 4a + 7b = 54 2a – 3b = 14 4. 2x – 3y = 1 8x – 12y = 4 5. 3x + 4y = 12 6x + 8y = 24 6.  2a – 5b = 10 3a – b = 2
1. Solve quadratic equation Ax^2+Bx+C=0 using the quadratic formula x = (-B+ and - sqrt(B^2-4ac)) /...
1. Solve quadratic equation Ax^2+Bx+C=0 using the quadratic formula x = (-B+ and - sqrt(B^2-4ac)) / 2a) and output the two solution with clear explanation could you please do it in MATLAB
Use MATLAB to solve graphically the planar system of linear equations x +4 y = −4...
Use MATLAB to solve graphically the planar system of linear equations x +4 y = −4 4x +3 y =4 to an accuracy of two decimal points. Hint: The MATLAB command zoom on allows us to view the plot in a window whose axes are one-half those of original. Each time you click with the mouse on a point, the axes’ limits are halved and centered at the designated point. Coupling zoom on with grid on allows you to determine...
X and Y are independent Exponential random variables with mean=4, λ = 1/2. 1) Find the...
X and Y are independent Exponential random variables with mean=4, λ = 1/2. 1) Find the joint CDF of the random variables X, Y and  Find the probability that 4X > Y . 2) Find the expected value of X^3 + X*Y .
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT