PRE-CALCULUS WITH TRIGONOMETRY 170 11. Use the definition of Logs to solve for x: æ log2 (64) = 2 O x = 2 O x = 3 %3D 112 113

Q: Solve the following equations. Show all work. 5. log, x + log2(x + 6) = 4 6. In 42 7. log(x - 3) +…

A: Given

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: The Gutenberg–Richter Law states that the number N of earthquakes per year worldwide of Richter…

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

A: We will solve the equation for x.  (i) 2x-6=18(ii) log5(x+3)=1-log5(x-1)

Q: H-w/ prove That: の legiキ2109i @ log (i+i)=2 loy (iti) logそキ2 \ogz }2こメう

A: (1)

Q: In 13 and 14, solve for x. 13. log x = 5 14. log x = 1.25

A: 13. logx=5 we apply the rule,  logab=c⇒b=ac so write the given equation as log10x=5∴x=105…

Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log„1121 b.…

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Q: Which statement is true? Hint: Use Stirling's Formula. log(n!) = 0(nlogn) log(n!) > O(nlogn) log(n!)…

A: There are different forms of Stirling's formula, one of the form is-                         log(n!)…

Q: solve for x in the following equation: log2(x-2)- log2 (x-5)=3 a. x=38/7 b.x=27/5 c.x=6 d.…

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Q: 23. Solve for x: a) log, (x- 5) + log,(x - 2) = 2 b) 5*+2 - --2500

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Q: (8) Using Taylor's formula, e" log(1 + is approximately equal to (a) x – xy (b) х — ху + 2 (c) x +…

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Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x+ 5) = 0 (c) 22x + 2x – 12 = 0 (e)…

A: Answer

Q: The solution of the equation Log(z² – 1) = in is| 1,–1. О V2i, – V2i. V2, - V2. O None of them O…

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Q: The derivate of y = 4 logx? – 5*² is | 8. 8. (2x) 5* In 5 5 x² In 10 x In 10

A: Derivative of the function

Q: log10y+3log102=5 express y in terms of x

A: Consider the expression  log10y+3log102=5

Q: () N f(x) = , show that f(0) and its leading differences form a geometr 5. (i) Prove that A log x…

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Q: Solve the logarithmic equation for x

A: "Since, you have asked a question with multiple subparts, we will solve the first three for you. If…

Q: Using the compound intrest formula, show that the amount  of time for a deposit to the double is  t…

A: To prove that the amount of time for a deposit to the double is

Q: 12. Evaluate, using the laws of logarithms. log, 256 + log, 4 – log, 7+ log, 224 с. 5 d. 6 а. 3 b. 4…

A: 12. Answer:    c. 5 13. Answer:    b. 17/12 log(x) 14. Answer:    d. x = 16

Q: 0:A-If y = 2cc (20) and x = etot(20), Prove that: - (answer one only) dy *- (In2).. log, x %3D dr B-…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Solution to the equation Log(2iz + 1) = in is %3D O None of them Z = Ti z= 1 z = T O z= i

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Q: 1. Use the definition of logarithms to solve 8e*=96 О 2.48 O 2.19 O 1.08 О 0.46

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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*)

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Q: 11) Given that log, 6= m and log, 5 =n, show that log, 10 = mn+m-1 %3D 12) Solve for x in the…

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Q: Determine if the given functions are LI or LD by computing the Wronskian : -2x Yi = e*,y2 = e*,y; =…

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Q: The field metabolic rate (FMR), that is the total energy expenditure per day in excess of growth,…

A: Given the total energy expenditure per day in excess of growth for a pronghorn fawn is F(x) = 0.751…

Q: (b) Show that u(2) = log log (1 + la|") belongs to W12(U) but does not belong to L (U).

A: Given: u(x)= log log(1+|x|^-1)

Q: (a) Use the definitions of hyperbolic functions in terms of exponentials to prove that 8 cosh'x cosh…

A: a) LHS =  8cosh4x  =  8(cosh2x)2  =  8 * ((1/2)( cosh(2x) + 1))2  =  2 (cosh2(2x) + 2cosh(2x) + 1)…

Q: 4. Solve the following logarithmic equations. a. 2logx = log2 + log(3x – 4) d. logx + log(x – 1) =…

A: The logarithmic properties; 1). logbmp=plogbm 2). logbm·n=logbm+logbn 3). logbmn=logbm-logbn 4). If…

Q: #12. SOLVE THE EQUATION а. log (x²) = (log x)² 1 or 100 b. log Vr – 9 = 2 V 10,009 С. log (x³) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Find the exact solution to the exponential equation 22=12(0.3)^q( do not give a decimal…

A: Given,            22=120.3q

Q: The solution of the inequality log(x- 4) > log(10z - 10) is: O z 3.33 OR 0.67 Oa<3.33

A: If loga x&gt; loga y, then x&gt;y for a&gt;1 and x&lt;y for 0&lt;a&lt;1 . Usually log 10 x is…

Q: I need some help on ii for #1 please!

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Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log1121 b. 4…

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Q: 11. What are the approximate solutions to log(4x − 1) - x≈ 2.95, x≈ 2.00 x≈ 1.75, x≈ 24.83 Ox0.25, x…

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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: Solution to the equation Log(2iz + 1) = in is None of them z = ni z = i

A: Usually, log x is represented as log10x . If log x=y , then x=10y .  The natural logarithm, ln x is…

Q: A population of bacteria, B, can be modeled using the exponential function B (x) = 3 (2)“ , wherez…

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Q: . Use the Laws of Logarithms to expand the expression.

A: We have to use the laws of logarithms to expand the expressions: a logxy3z2      b lnxy     c…

Q: 2a.

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Q: 20) Solve for x: log(3x + 7) + log(r – 2) = 1 (a) ! (b) 3, - (c) 2 (d) 2, - (c) None of these

A: Given that      log(3x+7)+log(x-2) = 1 Here we have to solve for x .

Q: A population of bacteria, B, can be modeled using the exponential function B (x) = 3 (2)" , where a…

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Q: Find the formula for an exponential function that passes through the two points given. (x, y) = (0,…

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Q: Find a formula for the exponential function of the form A=f(t)=IB^t passing through the points (2.5,…

A: Just satisfy the given both points in the function and find the unknown.

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

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Q: (a) f(t) = In(5t - 4) 12 (b) g(x) = log(x² - 25)

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Q: 8. Solve. Give EXACT answers only- (a) e**1 = ! %3D (b) 3log2(x – 1) = 5 – log24

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Q: 3. Solve the natural logarithmic equation. 3 In In x + In In 2 = 4

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Q: 17) log 5 625x8y6 z3

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