Find all real numbers a such that a2= a-2. Explain why this does not violate the exponential function property which states ax=ay if and only if x=y.  For what value(s) of a does a2=a-2?

Q: Solve. log,(3x – 4) = log:(x + 2)

A: To solve the given equation

Q: 1 Find the intersection point for each of the following pairs of functions. a f(x) = x- 1, g(x) = 2x…

A: Solution: The objective is to find the intersection point of the given functions

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A:

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A: It is given that T is the number of years since 1988.

Q: (2x3 3 X 15

A:

Q: Solve. log, x = 3 - log,(x - 2)

A: We know that, from the property of logarithm logam+logan=logamn           ⋯⋯1logab=c⇒ac=b        ⋯⋯2

Q: Evaluate log abc 3 6 If a² = b³ = c5 = dº

A: To evaluate logdabc if a2=b3=c5=d6.

Q: Find all real numbers a such that a2=a−2. Explain why this does not violate the exponential…

A: a2 = a-2 implies, a2 = 1/a2  Then, a4 = 1 So, a4 - 1 = 0 i.e. (a² - 1)(a²+1) = 0 Since, a² + 1 >…

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A:

Q: Write an exponential function for each set of points. (0,1024), (1,256), (2,64), (3,16) and (4,4)

A:

Q: Let t be the number of years since 1989. What does t=6 mean in this situation

A: In this case, t represents the number of years since 1989.