W. Directions: Use the laws of logarithms to expand the expressions as the sum, difference or multiple of logarithms. log (2)(3) 2. logs 3. log(x(x+2) log 5. log V

Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) (a)…

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Q: Golves 3Log(2)-(11)=Log(10m'n)

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Q: State the family of functions the graph belongs to, then write a function to mo 30- 16 13 -8- 13 16-…

A: We will find the function.

Q: Evaluate the indicated logarithmic expression.a. Evaluate: log2 32. b. Evaluate: log2 8 + log2 4. c.…

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Q: V. Directions: Use the laws of logarithms to expand the expressions as the sum, difference or…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: The expression loge is equivalent to 216

A: To simplify: The expression log61216. Concept used: Logarithmic quotient rule: log ab=log a-log b…

Q: 3. Write the expression as a sum and/or difference of logarithms. Express powers as factors. Log().…

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Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (2,-2).…

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Q: How can the logarithmic expression be rewritten? Select True or False for each statement. Statement…

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Q: Write a logarithmic equation corresponding to the graph shown. Use f(x) = log2(x) as the parent…

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Q: Use this information to evaluate the following. Hint: do not try to solve for the value of a. log, 2…

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Q: It logge = - 3, og, y =1 Gnd Log,z =4, evaluate log 21 z²

A: Given: log3x=-3, log3y=1 & log3z=4 To evaluate: log381×9xy4z23 Solution: We know that,…

Q: Hick's Law (namd for psychologist William Edmund Hick) says that when people must make a choice from…

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Q: Time for a prediction! Based on all of your vast math knowledge, what do you think will happen to…

A: To find what will happen to the graph of, y=log3 x, if we add a +2 to the end and make it y=log3 x+2…

Q: Write an equation for the transformed logarithm shown below. Your answer should include a vertical…

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Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) oge(7)…

A: (a) The logarithmic equation is,

Q: 6. For which value of x is the expression log, (2x – 3) undefined? (1) 1 (3) 3 (2) 2 (4) 7

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Q: Using properties of logarithms, log (x y)° can be written as PERF.. .... Select one: a. log 6 (xy)…

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Q: c) log, x = 9 log, 3 %3D d) 9 -3**2 - 36 = 0; leave your result in terms of natura! logarithms

A: Given that: 3-(c) log3x=9logx3.      (d)9x-3x+2-36=0

Q: 1b. Condense the logarithm below (write as a single log.) 2 log a – 3 log y + 6 log z

A: Given logarithm is : 2logx-3logy+6logz To write above \logarithm in a single log. Use the property…

Q: Use the exponential relationship of logarithms to show that…

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Q: Some biologists model the number of species S in a fixed area A (such as an island) by the…

A: a] Given that log S = log c + k log A logarithm property a(log(b)) = logba applying log property we…

Q: 6. Y= 2 is a(n) (A) Exponential function (B) Logarithmic function (C) Power function (D) Polynomial…

A: Power function have variable in base but exponent function have variable in exponent.

Q: snip

A: For a function f the difference quotient f(x+h)-f(x)h is used to calculate the derivative by taking…

Q: Jse the Laws of Logarithms to expand the expression. log2)

A: The given expression is log22xy.

Q: . a. Evaluate log, 2 b. Evaluate 5 - log: 2 c. How do the values of the expressions in parts (a) and…

A: we have to evaluate the given expressions (a) evaluate log225(b) evaluate 5·log22(c) we have to…

Q: r2(log, 3) = 3 (los, 2)", then the value of log, 2) , then the value of x is equal to OA. O A. 17 19…

A: We have to find the value of x for the equation 2log23x=3log32x. For this, we have to use the…

Q: Which expression is NOT a law of logarithms? a) loga xy = loga + loga Y b) 10%a loga X Y = log₁ x c)…

A: This question is related to laws of logarithm, we will solve it using given information.

Q: MY NOTES Use the properties of logarithms to expand the expression as a sum, difference, and/or…

A: The detailed solution is given below Thank you

Q: The temperature dependence of the reaction rate constant is given by the equation: Ea k = Ae RT…

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Q: What is the difference between quadratic and logarithm functions? a. The effect of x on y never…

A: Concept: Polynomial function: A polynomial function with one or more variables, where the largest…

Q: 3. (a) 5 = 125, so log (b) log, 25 = 2, so

A: a. 53=125 b. log525=2

Q: Hick's Law (namd for psychologist William Edmund Hicl says that when people must make a choice from…

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Q: (a) Suppose loga(x) = 15 and loga(y) = 3. What is loga ? %3| y3 Your answer should be a number. Show…

A: Use properties of logarithm to solve below parts.

Q: IV. odvice veren V. Directions: Use the laws of logarithms to expand the expressions as the sum,…

A: " Since you have posted a question with multiple subparts, we will solve first three subparts for…

Q: umbers with a # 1 and b # 1. legap – 3 loga y? loga p* loga y6 B) logaC) C)loga( 3y²- D)loga)

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Q: 6. List 3 similarities and 3 differences of the two functions below: y=5* and y=log;x

A: Given functions are  y=5x     1y=log5x   2 Similarities between functions (1) and (2):-  i. Two…

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: We use logarithmic properties

Q: Sondere ebch exprO sSn to G sngle logarithm 3. 2. 3. + log qfu + lay a to 3.

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Q: a. Evaluate log4 64 – log4 4 64 b. Evaluate loga () c. How do the values of the expressions in parts…

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Q: Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the…

A: Since, acidity of a substance is given by:pH = − logH

Q: dentify the cno 1. Which of the following functions results if fx)=log,* is vertically stretched by…

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Q: Match the equivalent statements using logarithmic properties. logs (12) +log3 (8) logs (12) - log3…

A: log312+log38log312−log388×log312log312log812

Q: Which is the logarithmic form of 5' = 25? (A) log , 25 = x (B) log , x = 25 (C) log ,5 5 =x (D) log…

A: Given, 5x = 25 We have to find the logarithmic form of  5x = 25.

Q: O Calculte the value 0f X and m. log lag,6) t10 l09(x+V b. (logm)²+ a logm - 3=0 C. log (x) - log(2)…

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Q: 19. Which of the following mathematical statements is a natural logarithmic 1 point equation? log, a…

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Q: Use the graph of the logarithmic function f (x) to answer the question. 4 -2 2. 4 6 8. -2 © 2017…

A: from the graph we have to find the x-intercept

Q: h+k If h? +k? = 23hk , where h>0, k>0, show that log - (log h+ log k) %3D %3D

A: Given that h2 + k2 = 23hk where h > 0, k > 0   Here the objective is to show that the value…

Q: Solve for x the equation log, x+log, 81= 5log, 3.

A: Given,  log3x + log381 = 5 logx3   We have to solve for x.

Q: Write a logarithmic equation corresponding to the graph shown. Use f(x) = log5(x) as the parent…

A: The solution is given below in the next step:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.