(1) Solve the following: 1 (i) 2*/2-16 32 (ii) log, (x-2)+ log, (x) = 1 %D

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

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Q: look at attachment need for reference

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Q: (1) (a) Solve the following: 1 (i) 2*-6 8 (ii) log, (x+3) =1– log, (x-1) = -

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Q: 2. Solve the logarithmic equation (g) In r = 1 (h) log3 (20x + 31) = 4 (i) log;(449 – 7x) = 3 |

A: Solve the following

Q: 4x (log3 x)° (csc5 x) Vsinh(2x – 8) b. y= -

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Q: Solve the following: 2x-6 = 1            8   log5 (x+3)=1-log5 (x-1)

A: Using definition & rules of logarithm.

Q: Log(X^3Y^2Z^7)

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Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

Q: The solution to log₃(log₂x) = 1 , is:   A. x=4 B. x=8 C. x=1 D. x=2

A: Formula: If logab =c  Then b=ac

Q: Solve the following equations 1. 4x+8= 16x 2. 32x+4*3x-21=0 3. 4-log(3-x)=3

A: 1) Given:       4x+8= 16x       4x+8= 42x       4x+8= 42x Here bases are equal, so power should be…

Q: Solve the following: 1 (1) 2*-6 8 (ii) log,(x+3)=1- log,(x-1) =-

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Q: -3 7) log4 x = 2

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Q: Solve the following: (i) 2ᵡ-⁶ = ⅛   (ii)  log₅ (x + 3) =1− log₅ (x -1)

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Q: y = loga 4x 6.

A: Differentiate with respect to x.

Q: 10) Solve the logarithmic equation In(x+1) – In(x – 4) = 1. -

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Q: Solve the following equation for x. log2 (9x+6)=2+log2(x+3)

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Q: 3. Solve the following equations for x: (a) 3*4*+2 = 8 (d) log₂x = 2 (b) 3 lnx + 2 ln x² = 6 (e)…

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Q: solve for x in the following equation 2e^3x-1=10

A: To solve the equation

Q: (1) (a) Solve the following: 1 (i) 2*-6 8. (ii) log,(x+3) =1– log,(x-1)

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: (1) (a) Solve the following: 1 (i) 2*-6 (ii) log;(x+3)=1-log;(x-1)

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Q: 2. Solve for x. log,24 – log,2 = logax

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Q: 7. Solve for x using log properties: log(5x) – log(x² - 2) = 1 |

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Q: 7. Solve for x: 48 = 6e4x b. log (x?) + 3log (x) log (32) а.

A: Given : a) 48=6e4x   b) log(x2) +3logx=log32

Q: Solve the following equation for x: log3(ln(x)) = 2.

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Q: 1. y = e9z-5 2. y = 2x ln(x +2) 3. y = (2x – 5) log(3x² – 6æ)

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Q: 25^x-2 = 5^3x   3e^-5x = 132   -4(5^x) = -68   e^2x-7e^x+10=0   ln3x = 8.2   log(x+2) -…

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Q: 9. Solve the logarithmic equation 3+log(2x+5)=2.

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Q: 2. Solve for x. 45x-x² = 4-6 a. b. (1 − x)5 = (2x − 1)5 - 60 c. 55 = 1+5e-0.6x d. 3 log x + 10 =…

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Q: Solve for x: a) 52x+1 = 8 b) −4(log2 x)=12

A: Given :         52x+1=8-4log2x=12

Q: Write the expression as one logarithm . SNIPP

A: To rewrite expression as single logarithm. Using the properties of logarithm,

Q: 2) y= log, (-4x +6)+ 4 2 +6 1) у3D 4) y= In (4x – 10) – 6 e+10 3) y =

A: SOLUTION- Since you have posted a question with multiple subpart , we will solve first three for you…

Q: Differentiate.

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Q: 9) Solve for x and y in the following pair of simultaneous equations log (x+ y) = %3; 2 log x = log…

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Q: 4. Solve the following logarithmic equations: a) logx+log(x+15) =2 b) log,(x+1)= 1 +log, x d)…

A: We have to find value of x for given problem

Q: 1. Solve for both the -3 ln (x + 5) - 2

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: 4. Solve the following logarithmic equation: log; (Z + 8)x7 – log3 (2K + 9)x3 = log3 (Z + 5)x2 + 4(Z…

A: Here, Z=9k=5

Q: How do I solve A=Pert, where P=$20, r=12%, t=3 years? $20 invested at 12% compounded continuously…

A: $20 invested at 12% compounded continuously after a period of 3 years.Calculate the Amount

Q: Find the greatest integer less than or equal to log29 S² log2 (x³ + 1) dx + (2x - 1)³ dx.

A: At first, we have to evaluate: I=∫12log2x3+1dx + ∫1log29(2x-1)13dx

Q: Solve the following equation for x. log2(12x + 10) = 3 + log2(x + 2)

A: To solve the given equation for x.

Q: 1.Solve by logarithmic differentiation (x+1)(x+2)(x+3)2 Y=In( V(x+3)3(x+4)4

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Q: a. 4x + 3 = 210 b. 7x - 1 = 3 c. log(8x -15) - log3 = log(2x + 1)   If Karen makes an initial…

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Q: (7) (7 pts) Solve the equation. log(x – 2) + log(x+3) = log(6x)

A: Here given as logx-2+logx+3=log6x

Q: 1. Solve for x. log4(x² log,(x – 4) – log4(x +2)=2

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Q: 1+logx 2. =D1. %3D 1. 196 16. Solve for x, 5-log:

A: We have to solve for x .

Q: 1 The solution of the equation Log(-z + 2) = i2n is 4

A: (c) 1+i,1-i,-1-i,-1+i is correct. We have to solve the given equation, that is, Log14z4+2=i2π…

Q: 1の4--9 aub FVAM ATを l0gb logA 164 こ てレフ)

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Q: i. Solve for x: a) 32x-5 = 27 b) log x = log 3 + 2 log 4 ii. If RM 400 is invested for 2…

A: here solve for x a) 32x-5 = 27      32x-5 = 33     here 27 = 33    so now     2x - 5 = 3…

Q: 7. Solve the equation log(x + 2) + log(x - 1) = 2

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