Problem Set: B (1) Solve the following: (a) 42x-1 64 (b) 81-x = 4x+2 (c) 22x +2x-12 0 %3D %3D (d) In 3- In x-In(x+ 5) = 0 (e) log,(x+ 2)– log,(x- 1) = 1

Q: Condense the expression to the logarithm of a single quantity. 14 In(x In(x + 7) + In(x) - In(x4 -…

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Q: Condense 1 logs (bº) + 7' + Glog3(b – 6) – 5 log3(b + 7) = -

A: Consider  log3b6+14log3b−6−5log3b+7

Q: Express Log (2) in Cartesian form (x+iy). Justify all of your steps.

A: Here we can use the formula  Logz=12logx2+y2+i tan-1yxwhere z=x+iy

Q: alog (6x+)-Log 2-L0g, (3x+2)=2

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Q: Enlarged Graph = -5 -4 -3 -2 1 10 9 8 7 6 5 4 3 2 -1 -2 -3 -4 -5 2 [X] 3

A: we need to write down the domain.

Q: Problem Set: B (1) Solve the following: 1 (i) 2*/2-16 = 32 (ii) log, (x- 2)+ log, (x) =1

A: Solution 1: Given that 2x2-16=132 we can write it as 2x2-16=125⇒2x2-16=2-5         ∵1am=a-m Since…

Q: Problem Set: B (1) Solve the following: (a) 42x-1 = 64 (d) In 3- In x- In(x+ 5) = 0 (b) 81-x = 4x+2…

A: We will use the following properties of Exponents  to solve parts (a) , (b) and (c)  of question 1…

Q: The solution for 4 - log₂(2-3x) = -1 is: A. x = -2 B. x = 2 C. x = -10 D. No solution

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Q: (c) Simplify the following: 7m+2 x 3т-1 (i) 212m (ii) log12 3 + log, 12 ()- (d) Solve for x in the…

A: Note: As per company policy we are supposed to solve only 1 of the question. So, kindly repost the…

Q: How do you find domain for log problems?

A: How do you find domain for log problems?

Q: If  x is an integer then solve (log2x)2-logx4 - 32 = 0

A: If x is an integer, then solve the equation log2x2-log2x4-32=0 as follows. Rewrite the equation as…

Q: (b).Solve for x: if log, x+3 log, 3=4 27**2 -6x3*3 3" x9**2 3a+3 (c). Show that %3D

A: Solution is below with full explanation.

Q: The solution of the equation log, (3x -4) = 3 is x = (a) 8 (b) 5 (c)4 (d) 3

A: Using the properties of logarithmic functions, it can be written that : If logab=c, then b=ac.

Q: Simplify the following: 3 log, u+ 12 log, v In(x) 2ln(y) + 3ln(z) - Solve the following: 7a+9 -3e"…

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Q: log,(4x) – log, (2) = 3

A: Given :              log4(4x) - log4(2) = 3

Q: (a) Find mif (b) Solve √32m20 x 16m 20m³ -5m-5 = 125 log₂ (x6x5 - 4x4) - 4 log2x = 4 (x > 4)

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Q: (2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then…

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Q: Solve for x. Show exact values. State restrictions on the variable (if applicable). a) 216x+1 = 6x-4

A: Introduction: Indices describe the basic properties of algebraic expressions. It deals with the base…

Q: (1) Solve the following: (a) 42x-1 (d) In 3- In x - In(x+ 5) 0 (c) 22x + 2x - 12 = 0 (e) log,(x+ 2)…

A: Use property of log to find value of x. Note that first find domain of function. That means value of…