Solve the following inequality for x. Write your answer using interval notation. log, (x - x – 2) < 2 - x - 2) < 2

Q: The domain of the function g(x) = log, (x – 4) is (- 00, ) and ( 0).

A:

Q: 4 Vrite the domain in interval notation of log. ( ), where c > 0. 2-3x,

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Q: log5 25=3x-3 log4 (x+3)=3/2 log1/2 (3-x)=-3

A: 1. Given: log525=3x-3 To solve the given equation and find the value of x we need to use some basic…

Q: On which interval is log(5 - x) negative? O x -6 O x 4

A: We will find the interval on which the value of log(5-x) is negative.

Q: Solve the inequality. log x2 3

A:

Q: 2. Solve the inequality and write the solution set in interval notation: a. b. loga(3r-5) <4

A: Please see the explanation below

Q: Solve the following equation analytically. (Enter your answers as a comma-separated list.) log 10-4…

A: find the value x

Q: Find the domain of the function. f(x) = log √5x-8 Write your answer as an interval or union of…

A: Given function is fx=log5x-8 The domain of the function is the set of all input values such that the…

Q: Give the domain and range of the function using interval notation: g(x) = log4(x+1)

A: Solution: Domain: The domain of a function is the set of input or argument values for which the…

Q: Find the domain of the below expression and solve the inequality g(x)=Log5 (1+x/1-x) = 1+x/1-x &gt;0

A: Given:

Q: Give the domain and range of the exponential function using interval notation. G(x) = -3x - 1

A: Given, G(x)= -3x-1

Q: Write the domain in interval notation. a. f(x) = log:(2x + 4) b. g(x) = In(5 - x) c. h(x) = log(x -…

A:

Q: Why the domain of F(x)=log2x2 is all real numbers except 0?

A: Given,          The domain of Fx=log2x2.

Q: Given the functions ) - logz and )-2-x which of the following is most likely the graph of-Aet?

A:

Q: Complete the table of values. f(x) = log3 x f(x) 9. 1

A:

Q: The domain of g(x) = log2(5 - x) can be found by solving the inequality________ .

A: The given function is gx=log25-x

Q: State the domain and range of the function f(x) = log2(12 – 3x) - 3

A: given, f(x) = log2(12 – 3x) - 3 Let f(x)= y for domain and range log2(12 – 3x) - y =3

Q: Find the domain of the function f(x) = log, (x + 1). Write the answer in the interval notation

A: To find the domain of the function

Q: Find the domain of: f(x)=log7(x-8)

A: Consider the function

Q: Which graph represents f (x) = log, r?

A: The given function is f(x)=log6x

Q: Solve for x, rounding to three places, if necessary: A. log, 27 = B. log, 2.9 = 3 C. e2x = 5

A: here we need to solve the logrithmic functions. the solution is following.

Q: Find the domain (in interval notation) of the following functions

A: Domain: Domain of a function is the set of values of x for which the function is defined and real.

Q: What are the domain and range of f(x)=log x -5

A: f(x) = log(x - 5)   Note : the domain of log(x) is the set of all positive real numbers. And, the…

Q: What is the domain and range of  g(x) = log(x-9) + 3

A:

Q: Express the following in terms of x without logs. log(100,000*)

A: Consider the following: log100,000xApply log rule,logaxb=b·logax

Q: If f(x) = log(x), find f(10−5)

A:

Q: 4. log3 2x-log3 (х-5-0 5. logx(log2 256)=3

A: properties of the logaritm function is logab-logac=logabclogabm=mlogablogab=c⇒ac=b

Q: use the following function to answer the statements below: y=log(−x−3)−2 1. as x → -∞ 2. as x → -3

A:

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: Find the domain and solve the following inequalities: log,* x+1 Domain : Example: x7 Solution :…

A:

Q: 8. Determine the domain of f(x) = log;(x² - 2x 15) and write using interval notation.

A: Given, fx =log5x2 -2x-15 We have to find the domain  of f(x)

Q: What is the domain of g(x)=log( x− x 2)? Give the answer in interval notation. Provide your…

A: Given:The function is g(x) = log(x−x2).Known fact:The domain of the logarithmic function is the set…

Q: State the domain of f(x)=-log 3(x-2)/3

A:

Q: Write the domain interval in interval notation. 1. P(x)= log(x2+ 9x + 8) 2. f(x)= log2(x2 - 4)

A: Hi there, at a time we can answer only one question and you was not specified. So, I have answered…

Q: Solve for all values of x log,47(2a? – 2) = 2

A:

Q: Solve for x. log, (x- 3) =1– log, (x- 6) If there is more than one solution, separate them with…

A: Using the properties of logarithmic functions, it can be written that logab+logac=logab×c. If…

Q: Express p in term of q if: log,p -log,q =1

A: We have to express p in terms of q.

Q: Given that h(x) = log(x + 1) and f(x) = 2+ 10², find and simplify foh(æ)).

A: Composition of two function f(x) and g(x) is the process of making a new function h(x) such that the…

Q: Write the domain interval in interval notation. f(x)= log2(x2 - 4)

A:

Q: Graph the inequality y ≥ log2(x + 1).

A: Given inequality is: y ≥ log2(x + 1)

Q: Find the domain and solve the following inequalities: log, (x+15)>4 Domain : Example: x7 Solution :…

A: Solve the given problem.

Q: Solve the following equation 2log (2x)-log(x²+75).

A:

Q: Solve each inequality for x ln x &lt; 0

A: The given inequality is lnx&lt;0. First determine the defined range, by excluding the restricted…

Q: Solve the following inequality for x. Write your answer using interval notation. log, (x – x – 2) <…

A: