Express in terms of sums and differences of logarithms. 8. In 9x°y 8. In 9x°y

Q: VI. Solve the following logarithmic equation. log3 (5x – 4) = 4 log; (x+3) + log;(x – 2) = log;(2x)…

A: As per bartleby guidelines, I can answer only one question. So, please repost the other questions…

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: Letting æk = VYk gives Xk+1 = kxk, (6.88) the solution of which is Cuk = c(k – 1)!. (6.89)…

A: The explanation of dermined is given as follows :

Q: What is the family of the equation y = log,(x) O quadratic linear O logarithmic Fill in the table of…

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Q: 1. Solve the equation: a) e -3 b) 25* -s 125-S c) log vx – 6 = 1

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Q: 2. (a) (b) The weight of a radioactive substance remaining after t years is given by -0.04t W=1000x2…

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

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Q: 10. Solve for y. log(y – 1) + log(y + 1) = log 8 A. -3 2 С. 3 D. 3 & – 3 B.

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Q: Consider the equation Mw = 2/3 log10 E - 10.7 relating the moment magnitude of an earthquake and the…

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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: Find y dx Please, expert, I do not have much money. Solve please 4.y=log10 (x4 + 3x² + 1) 5.y = log5…

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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: 4. For what value of a are the graphs of y Recall that loga a and y loga tangent to In zYou should…

A: Here y = ax and the other graph loga x are inverse of each other. First find their point of…

Q: 3(1 + 108x) = 8 %3D (a) Find the exact solution of the exponential equation in terms of logarithms.…

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Q: Solve b.

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Q: Kw.: Solve dhe equekions : Logx= log (2-) 2. 4 2 Log (x+2)- Lag x e + e (3 -2 e e -- 4 e +e éte =2…

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Q: Solve for x accurate to three decimal places.

A: Solve for x accurate to three decimal places.  50001+e2x=2

Q: D) log3 (x² – 5) = 2

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

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

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Q: 4. g(x) = 4x³ log, X 5. f(x) = 10* · e* 2x-x2 logze e²10* c. e*10* + loge e*(x-3) x²-4x+4 e. 4x²(3…

A: "Since you have posted a two questions, we will solve first question for you. To get another…

Q: (b) An elementary charge is 1.602107 log (1.602 x 10-19) - 19 A Ć. Approximate log (1.602 × 10-1⁹).…

A: I have appended the formula used in the solution part of the question

Q: HOMEWORK | ax' Q1: - find y = 5cscx3 dx for Q2: - If y = 3sec3t and x = etan3t prove that: - dy y…

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Q: Solve log10 (2x + 1) = 1+ log10(x – 2). Get a decimal approximation which is within O.0001 of being…

A: Given: log10(2x+1)=1+log10(x-2)

Q: 1) lag is equal to logizs b)3, c) 3x .d) none of them

A: Solution: log5xlog125x=log5xlog53x we know, logbna=1nlogba hence  log53x=13log5x hence…

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

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

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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: 43) log 4 (x + 4) + log 4 (x - 2) = 2 A) (4} B) (4, -6} C) (5} D) {-6}

A: Given , log₄(x+4) + log₄(x-2) = 2 log₄ (x+4)(x-2) = 2 log₄(x²-2x+4x-8) = 2 log₄(x²+2x-8) = 2 logₙb=…

Q: log2(3x – 1) = 3 Select one: О а. х-10/3 O b. x=1/3 О с. х3 -3 O d. x=3

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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 +…

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Q: 1-coth² (log₂x) dx x cosh(log₂x) 1. 11/20

A: We have to find the integral.

Q: The loudness of sound (L, measured in decibels) perceived by the human ear depends on intensity…

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Q: 3 Solve the logarithmic equation log(x – 1) + log(x – 4) = 1. A {1} (1, -6) B (6} D {-1, 6} E {1, 6}

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

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

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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: If you use the approximation ln 2 ≈ 0.70 (in place of 0.69314 c), you can derive a rule of thumb…

A: Given a rule of thumb that says, “To estimate how many years it will take an amount of money to…

Q: (a) The projected population P of a fish in a lake after t years is given by 160000 P = 1+3e-2 Find…

A: Part a: Find initial population.

Q: 11. 7e^5x=3647 a. the solution set expressed in terms of logarithms is {___} now use a calculatoro…

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

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Q: dy Example 1: Solve x- +y= logx dx

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Q: 1. Solve the equations 2 - x a) 2 – x = |2x + 1| b) 2 = c) log! -2 %3D |x+1|

A: Modulus function is a function which always gives a positive value whatever the input given to the…

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

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

A: Topic = Algebra

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: Not sure how to solve this.solve for x.77=13^xx = ?------First, take the log of both sides of the…

A: Formula used:1) logan = nloga

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.