Find the domain of the function. f(x)= log %3D

Q: Express the function ƒ(x) = g(x)h(x)in terms of the natural logarithm and natural exponential…

A: Given: f(x) = g(x)h(x) Concept Used: ln(ab) = ln(a) + ln(b)

Q: Write the exponential equation as an equivalent logarithmic equation. x = z Select one: A. logx y =…

A:

Q: Igebraically solve log, (x + 1) + log, (x- 5) = 1

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Q: Solve for x. Give your answer as an integer or reduced fraction. log, (æ*) + log; (Va) = 10

A: First, we write using exponents and then the exponents become coefficients.

Q: Solve for t using a logarithm with base a. 3a2 = 5 %3D t D |

A:

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

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Q: The function f(x) = e' is called the exponential function. The number e is approximately equal to

A: Answer :Given f(x) = ex∴ f(x) = ex is called as natural exponential  function with bases e& e…

Q: The range of an exponential function f(x) =b' is

A:

Q: The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and…

A:

Q: Consider the graph of an exponential function f(x) = b*:

A: Given,         The graph of an exponential function fx=bx is shown below :

Q: Write an expression, of the type A log(x • B), for the transformed logarithmic function shown below:…

A: Given query is to find the function for indicated graph

Q: Logim 4. Determine the values of the missing variables in the isosceles trapezoid below. C of 56° D.

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Q: (a) Solve the given function and show that x can be describe in terms of natural logarithm 10sinh 2x…

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Q: Solve, giving your answer as exact values: a) log„ (7) = 3 b) log; (x + 1) + log; (x – 1) = 7

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Q: Write the log equation as an exponential equation. You do not need to solve for x. 1 log (7+3) (8)

A: logx+38=12

Q: Find the exponential function f(x)=b^x whose graph goes through the point (2,1/4) b=

A: To find the exponential function f(x)=b^x whose graph goes through the point (2,1/4) Given the point…

Q: 2. Multiple Choice: If log x + log y = - 2, which of the following is correct? А. х+у3-2 В. ху %3D—…

A: Brief answer is given below.

Q: Determine the inverse of the exponential function, y = 2*+3. O y= logs(x)+2 Oy= logx)+5 Oy- logg-5…

A: To find the inverse function, swap x and y and solve the resulting equation for x.

Q: Solve the equation for x, give EXACT answers, show all work! log2 I + log,(x – 3) = 2

A: According to the definition of the logarithm, if logax=y, then y=ax. the number a is called the base…

Q: S(z) = log (3r - 27) %3D

A:

Q: Solve the logarithmic equation: log, (x + 6) + log,(x + 2) = 1

A: Definition used -                           logam+logan =loga(mn)                           If…

Q: Write the exponential equation as a logarithmic equation. xY = z

A: Properties of logarithmic function. loge mn= n loge m logax=logexlogea

Q: Solve the log equation log2(x + 3) + log,(x - 3) = 4

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Q: All exponential functions f(x) = b x pass through the point __

A: The given exponential function is,

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: Write the log equation as an exponential equation. You do not need to solve for x. log(z-8) (x) = 2x…

A:

Q: Is it an exponential function? y = -(3)^x

A: Given function, y=-3x

Q: Which is the exponential form of log ;x = 2? (A) x= 3? (B) 2* = 3 (C) x' = 3 (D) 3* = 2

A:

Q: Solve for x the equation 2 x b4 logbx = 486

A: Given Solve for x the equation 2 x b4 logbx = 486

Q: Let f(x) = logb(3x^2 − 2). For what value of b is f'(1) = 3?

A: Explanation of the solution is given below...

Q: Solve for x: (G) logz 2 - 1 Question Help: Video Submit Question Jump to Answer

A: Given:- Logx(1/2) = -1 To find:- Value of x

Q: Solve the equation. log x + log (x + 9) = 1

A:

Q: The range of an exponential function f(x) = b x is _____.

A: To fill:The range of an exponential function f(x) = b x is _____.

Q: olve the variable for the exact and approximate for solution log5(x-12)=4

A:

Q: Write the log equation as an exponential equation. You do not need to solve for x. log (5x + 4) =…

A: Given: log8 (5x + 4) =3x -4 Taking base of 8 on both the sides: => 5x+4 = 83x-4 OR =>5x+4 =…

Q: E. Sketch the graph of the following logarithmic functions. 3. f (x ) = In(2r + 4)

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Q: Algebraically solve for x using log properties: log2 x + log2(x – 3) = 2.

A: The given equation is, log2x+log2x-3=2 As, logx is defined only for x>0, thus solution of this…

Q: Solve the equation log (x+2) = 1 – log (x-1). %3D

A:

Q: The domain of an exponential function f(x) = b x is _____.

A: The given exponential function is

Q: Consider the function y = Vx . Rewrite the function in exponential form.

A: We know that ,  eln(u)  = u

Q: Give an equation of the form f(x) = a^ to define the exponential function whose graph contains the…

A: we will make use of the fact that the given point lies on the graph of the function. Also 2^5 = 32

Q: log2 (* V32)*

A:

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log(5x + 7) =…

A: Logarithm equation

Q: log, x + log2(x + 3) = 2.

A:

Q: Write the log equation as an exponential equation. You do not need to solve for x. log2z (5x) = 3

A:

Q: Find the exponential function f(x) = CbX whose graph is given. y (3, 375) (1, 15) f(x) =

A:

Q: Find an exponential equation for the graph. y =

A: Formula:

Q: y=log3x2

A:

Q: If loga ( a17 y13 A log3 x + Blog3 y then %D A = %3D

A:

Q: Solve the equation for x. log4(x + 2) − log4(x) = log4(50)

A: Given: