In particular, the law says that the time, T, it takes to make a choice can be modeled by the equation T=b log (n+1) where n represents the number of options from which to choose, and b is a constant number (related to factors such as the type of decision being made).

Q: Given that log x= 4 and log y = 1.5 , find the value of log (x²y)

A:

Q: Express the equation in logarithmic form: (a) e" = 3 is equivalent to In A = B. Then %3D and

A: (a) Given expression. ex=3

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

A:

Q: Solve the following: 1. 2x/2-16=1/32 2. log8 (x-2) + (log8(x)=1

A: Explanation of the answer is as follows

Q: Solve the following equation for x. log5(2x) + log5(3x) = 2

A:

Q:

A: By definition, The logarithmic function y=logax is defined to be equivalent to the exponential…

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

A: Using definition & rules of logarithm.

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: If log(x + 8) + log(x – 8) = 1 then The value of æ is

A: This is a basic log question that can be solved with logarithmic property. The product rule of…

Q: If log x y=1/6, which one of the following is true?

A: logxy=1/6 here logxy can be written as logy/logx   now logxy=logy/logx = 1/6   logy = (1/6)logx logy…

Q: If  x is an integer then solve (log2x)2-logx4 - 32 = 0

A: The given equation is (log2x) 2 -logx4 - 32 = 0

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

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: Solve the following logarithmic equation: z=7, k=3 log;(Z + 8)x7 – log3(2K +9)x³ = log;(Z + 5)x² +…

A: Given,         log3Z+8x7-log32K+9x3=log3Z+5x2+4Z+K-6         When Z=7 , K=3

Q: - Find the solution set of * 2log2 (x + 8) – log2 (r + 6) = 3

A:

Q: The graph of every exponential function f(x) = ax , where a > 0 and a ≠ 1, passes through three…

A: f(x)=ax

Q: Solve the following logarithm problem for the positive solution for x. 1 log, x = 2

A: Given, log4x=-12

Q: Find the solution set for log3 2+2.log, x=|

A:

Q: In the given question as follows, solve for x.   log3 x = -1 log2 =x - 4

A: We have to solve the equation for x: log3x=-1log2x=-4 We know the property of logarithm,…

Q: , Find the solution for x: log (Vz+1+1) log V- 40

A: See the details solution in below

Q: In the given question as follows, solve for x.   log4 x = -2 log5 x = 3

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

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: The solution to the equation log(x)+ log(x + 4) = 0 is x = 0 x = 0.2361 O x = 4.2355 X = -0.2361

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

Q: Given z=(3+2i), solve e^logz

A:

Q: The solution of the logarithmic equation log z + log(x + 5) = log 24 is 3. 11 O16

A:

Q: Solve the following equation for X log(x+2) + log(x-1)= 1

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: The floor function, F(x)=[x] returns the greatest integer that is less than or equal to x. In other…

A: Given that,F(x)=[x]  is the greatest integer function.We need to find the value of Flog5777 without…

Q: 7) Propose an equation similar to log 4 + log x = log 27 whose solution is 9 %3D

A:

Q: 9

A: We need to solve

Q: 1 log 3 27 |

A: To find : logx127=-34

Q: If log(x + 3) + log(x – 3) = 1 then The value of a is

A: considering log base 10   using log property log(a)+ log (b)=log(axb) and  log 10 =1

Q: The exponential form of log(x)+log(y)=-2 is: x-y=10^-2 10^xy=-2 x+y=10^-2 xy=10^-2

A: This question is related to exponential and logarithmic equations, we will solve it using given…

Q: Solve the following equation for x:  log(x+1) + log(x+3) = log (x+7)

A:

Q: The solution of the equation Log(z² – 1) = in is

A:

Q: 4) Use the Laws of Logarithms to expand the expression as much as possible. Vx +5 In (2x²/y/

A:

Q: Find the largest value of x that satisfies: log; (x²) – log3(x + 3) = 8 Z Calculator

A: Explanation of the answer is as follows

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

A: Explanation of the answer is as follows

Q: If log a= x and log b= y then log (ab^2) equals 1/2(x+y) x+1/2x+22x+2y

A:

Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

A:

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

A: To solve the given equation for x.

Q: log, x = 2

A: To solve the given log, convert the log form to exponential form  Lets apply the rule to convert…

Q: If log (x + 7) – log, (7x) = 4 then enter your answer for æ as a fraction in its lowest form

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

Q: 2. Solve for x, to one decimal place. (b) 7* = 35 %3D (a) log, 56 = x

A:

Q: In the equationf (x) = e* In(11x) – e**+* + log(e6x*), find f '(3). %| -

A:

Q: The solution to the equation log(x) + log(x + 4) = 0 is X = 0 X = 0.2361 %3D X = 4.2355 X = -0.2361

A:

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

A:

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: Given log b 2 equals A and Log b 3 equals B, what is the value of log b 4/3

A: It is given that logb2 = A and logb3 = B.Obtain the value of logb (4/3) as follows.

Q: If r (x) = log(x – 3) and s(x) 2 log x, which function represents (r + s)(x) ? |

A: It is given that, rx=logx-3  and  sx=2logxWe have to find the value of r+sx