Determine if the following statements are True or False. Assume all values of the variables and parameter are in the domain of the functions. (a) log(ax5)= 5log(a) + 5log(x) ---Select--- ✓ (b) 10a log(x) = ax ---Select--- ✓ (c) log(+) = -log(y) ---Select--- - (d) log(a + y) = log(a) + log(y) – log(x) X ---Select--- ✓

Q: Assume that x,y,z and b(b)!=(1) are positive numbers. Use the properties of logarithms to write the…

A: The given logarithm expression -3logbx-2logby+12logbz. We have to rewrite the given expression.

Q: If the function is defined as gx=3x^2 -5(x+2), what is the value of g(4)

A: Given, gx = 3x2 -5x+2   We have to find the value of g4

Q: Find the dom ain of defination of each of the following functions: f(x)=log{1- log,,(x² - 5x +16)}.

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Q: Worksheet 2 intercepts and find the range and domain f(x)=log_(4)(x+2)+3.

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Q: find the inverse f^-1(x) = 1/x-1, and state the domain.

A: Given function is f(x)=1x-1 To find the inverse function of f(x) , we set y=f(x) and solve the…

Q: is f(x)=3x^3-6 a one to one function if not what are the x values

A: Yes. Given function is one to one function.

Q: -2- -1- 0 --1- ---2- --3- The graph of, y=log(x) 5 Domain:- (0,00) Range:- (-∞0,00)

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Q: If log \_(2) 32 = 3x - y, which of the following is true? y=3x+ x = (1) / (3) * y + 5y = - 3x + 5x =…

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Q: If log(7)x=0.4680​, determine the following.     log(7)x^2

A: Given:       To determine:

Q: 16. Condense the logarithms: a) 4logx - 2logx b) 5logx + 3logy + 2logy + 7logz

A: We can answer first question as per the honor policy. Please resubmit other question as well to now…

Q: For the following equation, find x. log_(b)x=(2)/(3)log_(b)27+(1)/(2)log_(b)4-log_(b)6 x=2 (Type an…

A: The properties of logarithms are a set of rules that allow us to simplify expressions involving…

Q: Write as a single log. Log_k(f)/Log_k(2)

A: Using logarithmic identities we can solve for single log  logcalogcb = logba

Q: if f(13)=-6 then f^-1(-6)=?

A: Consider the given function.

Q: graph the following functions  f(x)=3x-1    if x\le 0        -2x+1   if x\gt 0

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Q: Express as a single logarithm and if possible simplify

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Q: If P(t) = 2 and h(t) = 1+3t, compute the following functions and values. If your answer is a number,…

A: Given that : P(t) = 2t and h(t) = 1 + 3t

Q: Treat f(x) = g(x)h(x), where g(x)=2x^3+3, and h(x)=cos(x^2). The product rule combined with the…

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Q: For the function f(x)=log_((1)/(3))(x)+3, determine whether the function is increasing or…

A: The given function fx=log13x+3. We have determine whether the function is increasing or decreasing.

Q: When doing composite functions, if I have a problem that says f(x)=x/x-5 and g(x)=-3/x/ How do I…

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Q: When do we use the Chain rule in derivates of exponential function

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Q: for a positive value of x . log_(x)(8)=3  Find  X.

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Q: Differentiate the function by using logarithm (1 – 10x) Vr? + 2 ( + 10 10 (1–10z)V²+2 ((1-10.r)…

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Q: If f(5)=4 , find f^-1(4)

A: Given: f5=4, To find: f-14,