a. (In(x² − 3x + 1)) = = b. — (In(ex + 5x)) = d a + (n (+)) = [ C. dx +1 Hint: Use properties of logs to simplify the expression first.

Q: Find the value of “a” if (x1/3)(x3/4) = xa

A: Use Formula  (xm)(xn) = x(m+n)  When the two terms are in Multiplication and their bases are same…

Q: State the equivalents to (1/x+3) - (2/5x+1)

A:

Q: 1. Simplify the following 2x 6x³ ÷ x+1 x²-1 a. b. (x +(2+√3)(x − (2+√3)

A:

Q: Simplify : [√(x + h) - √x) / h

A:

Q: 22 - x+6 *- 3 22 – 4 2-2 2 + 2x +1 *+1

A: Solution

Q: x = [?] 2x + 9 8x + 1

A:

Q: 8. Multiply the following: a. (x3)(x2) = b. (x7)(x10) = c. (2s4)(-6s5) = d. (-30x)(3x) =

A:

Q: Find the error in the following work. D, x*(2x) - (x - 4)(3x?) = 2x* - 3x + 12x? = -x* + 12x?

A: The symbol Dx is the symbol of the derivative. Hence differentiation of the function helps to…

Q: (7x² +7x) dx

A: The objective is to evaluate the integration

Q: dx |x-1|

A: To evaluate the following integral.

Q: Simplity each of the following. (-21*)' (x+2y)(x-2y) 2.x -8x* (6x²)(-3x³)

A: Given query is to simplify the expression.

Q: 10 What is the 6th term of (x − 1)¹⁰-

A: To find 6th term of x-110. Formula for general term of expansion of a+bn is given as -…

Q: Simplify completely: (x7/2y1/2)3/2/x1/4y5/4

A:

Q: evaluate SSD (1+4x34y²) ½ dA where O is the bottom half of x²+4² = 16

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Subtract and Simplify [(9X+1)/5] – [(7X + 6)]/5 = ?

A:

Q: x = [?] 4x + 4 4x - 32

A: Solution of given question is written in below step.

Q: find the inverse of 2x+5/x-7

A: We find the inverse after swaping the variable and then solve the equation for 'y'. See attached…