Solve the following logarithm equation. There will be two integer solutions - one w be a valid solution and the other will be extraneous. Input your solutions in the appropriate space. log(2) + log(x+3)-log(x + 1) = log(x) Valid solution: x = Extraneous solution: x = A/

Q: log42(9x) = 2

A: Our Aim is to solve log x+2 (9x)=2 -(i)

Q: ind x if: Loga (x + 4) - logą8 = loga4x

A: Given query is to find the value of x using properties of log.

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: Graph the three functions y = xa, y = ax and y = loga x together on the same screen for a = 2, 10,…

A: It is given that the three function are y = xa, y = ax and y = logax.Sketch the three function as…

Q: Solve the equation for x: log, (x-5)+log, (x+3) =1

A: Consider the equation: log9x-5+log9x+3=1. Apply the log property logab+logac=logabc…

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A: Formula used: The quadratic formula to solve the quadratic equation ax2+bx+c=0 x=-b±b2-4ac2a

Q: ewrite as a single log. log,2x+3(loga X- log.y)

A:

Q: Solve and Check each equation: log, (x+2)+log,(x-5)=1 а.

A:

Q: Find the solution of the exponential equation x = 32x+1 = √3.

A: Here x = -1/4

Q: The solution of log-(9+ x) = 2log7 8 is O x = 73 O x = -55 O x = 16 O a = 55 O x = -1

A: Logarithmic functions.

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A: We have to solve for y for the given equation, log y = 2a + log b

Q: Express Log (4) in Cartesian form (x+iy). Justify all of your steps.

A: We have to find the given expression in the Cartesian form.

Q: Find the x-intercept and y-intercept of y = loga (x + 1).

A: The objective of this question is to find the x-intercept and y-intercept of the logarithmic…

Q: Solve for 2: (You must show all of your work.) log, (4 – z)+ log,(x + 2) = log, (3 – 2x) -

A: We know loga(uv) = logau + logav logax=logay ⇒ x=y

Q: Solve for x: (log(x)2= log(x)+15

A:

Q: Find the domain of y = log(3 - 2x). The domain is:

A: The domain is a set of x-values where the function is defined. In other words, the domain is the…

Q: log3 (x + 1) = log, (x + 8) x =?

A: The graph is shown of below:

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Q: Solve for X if F=G/2x

A: