3. Algebraically solve the following equation for x. Your answer must be EXACT. log, (x + 2) = 2 – log, (x – 1)

Q: 5. Find the equation of the line tangent to the graph of y = loge a when a = 36. 6. Show that there…

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Q: A. Logarithmic and Exponential Functions 1. y = log 2. t= In tan (; +) 3. y = In (e²x²)

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Q: 4) Consider the following logarithmic equation: What is the solution to the equation? log4(x + 2) +…

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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: 3r7 log 2 z3

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Q: 1. Solve the following equations, give solution to 3 decimal places, if approximate: A. log;(x +1) –…

A:

Q: Solve the following logarithm problem for the positive solution for x. 1 logr 9. 23

A: Logarithmic properties.

Q: 11-e18 x x+log3¤ Find y' where y =

A:

Q: Solve the following equations for x (a) 31-x - 92x (b) log2(z – 2) + logą z = 3

A: On solving the first

Q: 3. Algebraically rewrite the following equation using properties of logarithms and inverse…

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Q: - Given y = log, x, the value y is called the b is called the and x is called the

A: Given y=logbx , the value y is called the .......... . b is called the ........... and x is called…

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

A:

Q: consider the equations g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of…

A: Given that g(x)=log(x+5) and h(x)=−x−6. To the nearest tenth, what is the solution of g(x)=h(x)?

Q: 1) Solve for x and y in the following simultaneous equations *a) log, x = 2; 5y= x +12 log, y *b)…

A: We have to solve for x and y in the following simultaneous equations.

Q: (1) solve the following  i) 2x/2-16  = 1/32  ii)  log8 (x-2) log8 (x )= 1

A: We have to solve and finding the value of x  Here using logarithmic properties

Q: woubnat Solve for x 7* = 12 a. b. log(x+5)+log(x-4)=1 c. log, (x+3)-log, x= log, 7 %3D d.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A relationship between (y – 2) and (x- 1)is given by (y – 2) = a b(x-1). With a suitable lincar…

A: relationship between (y-2) and (x-1) is (y-2) = ab(x-1) So we will find the solution using logarithm…

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

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Q: Find graphically approximate value of the root of the equation an 3 – x = e* - 1.

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Q: D) log3 (x² – 5) = 2

A: To solve the equation for all real values of x log3(x2-5)=2

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

A:

Q: 17. On the grid below, graph the function y = log2(x – 3) + 1 Algebraically solve for x: 7 2x 1 %3D…

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Q: (d) Solve the following equations for x. (Correct to 4 decimal places) (i) 2ex-1 = 4 (ii) log5 x –…

A: Brief answer is given below.

Q: 1. Find the value of y. a. log;25 y b. logy32 = 5 c. log,y

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Q: Solve the following equations: 2 x³ = 49 3*.27*=9 √5*=25(x-1) d. b. log₂ (6x-4)=-1 28=2(5*)

A:

Q: 1. Solve for the following for x: Log6(x+2) = 2

A: We have to solve

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

A: loga(B) + loga(C) = loga(BC) loga(B) - loga(C) = loga(B/C)

Q: 2. Solve the equation for x. Round to the nearest two decimal places when necessary. Make sure to…

A: a. Consider the given equation, 2x=116 use the property of negative exponent, b-n=1bn so by the…

Q: 1 5 log5 (x) + log5 (y) - 6 log5(z) 6

A:

Q: O19 find the Value of X that Satisfies the following equation: a). log 10 Cx+2) + logio (x-1)-1 b).…

A:

Q: consider the following  5^3x+1=3^x-5 a) find the exact solution of the exponential equation in…

A: Question: consider the following    5^3x+1=3^x-5   a) find the exact solution of the exponential…

Q: 5. ƒ(x) = 10* . ex 2x-x2 a. 2 b. logze e 10 c. e*10* + loge e*(x-3) d. x²-4x+4 e. 4x²(3 log, x +…

A:

Q: given that ln 2 = x, ln 3 = y, and ln 5 = z, express each of the given logarithmic values in terms…

A: Given:   ln 2=x , ln 3=y, ln 5=z   To find:   The logarithmic values in ln 30 in terms of x, y, z…

Q: Solve the following equations for x : (ex + e-x)/2 = 3 log x2 = (log x)2

A: The exponent of a number says how many times to use the number in a multiplication and the logarithm…

Q: Find the value/s of x in the following equations/inequalities. 1. log3 (x+ 4) = log3(2x – 4) 2.…

A: We can answer question no 3 and 4 as below

Q: 16 Which of the following expressions is equivalent to ln(x2) a. log(x2) log(e) b. 2 ln(x) c.…

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Q: 1 log 3 27 |

A: To find : logx127=-34

Q: consider the following  5^3x+1 = 3^x-5 a) find the exact solution of the exponential equation in…

A:

Q: 19. Evaluate a) S. dx, leaving your answer in terms of natural logarithms, (x+2)(x+3) b) evaluate…

A:

Q: Consider the following. 4x/12 = 0.9 E (a) Find the exact solution of the exponential equation in…

A: We have to solve

Q: a) Find the Cost Function (C(x))? b) When the function (C(1) the fixed constant (K $22 ), at the…

A:

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: Consider the following regression equation: log Yni = log 3.07 + 0.9 log X1i + 1.41 log X2i a.…

A: Given, The regression equation is, log Yni = log 3.07+0.9 log X1i+1.41 log X2i

Q: 14. Solve the following equations and inequalities. a) b). c) (1 : ¹+x= 27√√3 (2sinx+√3)(√2cosx - 1)…

A:

Q: 4. Solve the following equation: a. e* + e-* = 2 b. 2 log () – 3 = log(10x²y) %3D

A:

Q: 1. Given y= log 256. The value of y=

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 12. Evaluate a) xcos2x dx, leaving your answer in terms of n. b) dxusing the substitution u 3x + 4…

A: Integration.

Q: Consider the following. 1+ e2x + 1 = 15 (a) Find the exact solution of the exponential equation in…

A: Topic = Algebra

Q: 1. Solve the following equation. a) 32x+1 – 28(3*) + 9 = 0 b) log(x – 4) + 2 log 3 = 1+ log c) x(x +…

A: We have to solve given Equation.

Q: Solve for x (to four decimal places) in each of the following: (0.26) log25) (4x- f) (414)x (1/4)*+3…

A: (f) The given expression is,