5.log, (a²-9)-log, (a-3) is equivalent to og₂(a² + a−12] og (a+3) 3 og₂(a²³ − 3a² − 9a+27 og₂(a² − a −12)

Q: |Example 6.12. Prove with the usual notations, that (i) hD = log (1 + A) = - log (1- V) = siiih- (E)…

A: Please find step by step solution below:

Q: alog (6x+)-Log 2-L0g, (3x+2)=2

A:

Q: 2 log(3n + 4) + 5 = 9

A: Given:

Q: Find the exponential function of the form fx) =ab* for which -3) = 7and f(O) =2.

A:

Q: Log(-z + 2) = i2 4

A: Consider the given expression, ln14z4+2=i2π The complex number is represented in three ways,…

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: The logarithmic equation log(x+3) -2= -log(x-2) has Select one: a. an extraneous root of x = -6 b.…

A:

Q: Solve. a) ln(x+1) + ln(x-1) = 0 b) e8-5x = 16 c) ln(2x) - ln4 = 3 d) 2ln(x+3) = ln(12x)

A: a) use logarithmic identities to solve the given equation as.

Q: B. Use the properties of logarithm to express the following as a single logarithm. 6. log m + log n…

A:

Q: -3 5. Determine the equation of this exponential function in the form y = ab* + c. Sub (0,2) into -2…

A: To determine the equation of this exponential function in the form y=abx+c.

Q: What is the value of b so that (x) = log,(x) passes through the point (64, 3)? B -8 D {-4,4}

A:

Q: 9. Solve. log,(x- 3)+ log,(x+ 4) = 3

A: The objective is to solve.

Q: ) log(x − 1) − 1 = − log(x + 2)

A: Given,             logx-1-1=-logx+2

Q: log(2-j)(3 + jv3)

A: Solve it.

Q: 27a b² Evaluate log, (- V81cd whenever log, (a) = 4, log3 (b) = 0, log, (c) = -1, and %| log3 (d) =…

A:

Q: Solve. a) log(x+ 3) + log(x – 2) = log(3x+2) b) 6**3 - 6* = 215 %3D

A:

Q: Which of the following would is a Step in solving for x ? %3D log2 (8x) + log, (3x- 5) = 3 O log,…

A: We have to find the step which is involving in solving for x: log28x+log23x-5=3 We know the product…

Q: Log(1 – iV3)² = a. 2Log(1 – iv3) b. Log(1+ iV3) c. 2Log(1 + iV3) с. d. None of these

A: Given: Log1-i32

Q: lc Given that 2 log2 (x + 15) – log2 r 6. %3D (a) Show that - 34.x + 225 %3D

A: From the properties of lograthmic function we can prove this

Q: The solution(s) of the equation 22x-2 20 is (are): A) x = 5. x = log2(5) and x = -log2(4). x =…

A: value=?

Q: Express as a single logarithm 15. 2log(b) + 3 log(c) 16. 2log(a) – 4 log(b) 17. log(a) + 2 log(c)

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…