- log 6 (2x) + 4log 6(6y) – 8log 6 3 |(2x)² log (+)' 8 (6y)ª V(2x)² log 6 (+)' log 6 (+)' |(2x)² (6y)* log 6 (:)

Q: a) log₂ (x + 5) + log₂ (x + 2) = 2 b) 5(x-2) = 3(3x+1)

A:

Q: How do we take the derivative of (log(4x+3))2x?, why is it wrong to do :

A: we have given function  to find the derivative.

Q: 11. log( 2x + 9) + log( x + 3) = log( x² +1) Solve.

A: Logarithm is the inverse function to exponentiation. Logarithm of a number is the a quantity…

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: log3x=log3(x2-2)

A:

Q: 6 · log4 (x³) + 4 · log4 ( 5 ) − 6 · log4 (16) = log4 (xªy²) for the values . . α = B =

A:

Q: . Show that log(1) = 2nti, n = 0, ±1, ±2, ...

A:

Q: Log ax5)-Log (7x+2)+lo9_ (8x+3)=3 3. 3

A: The objective of the question is evaluate the equation.

Q: 3x (37) 2y (d) In (e) log₂ (x³) (f) In (2x³e4)

A: Expanding given terms.

Q: If log \_(2) 32 = 3x - y, which of the following is true? y=3x+ x = (1) / (3) * y + 5y = - 3x + 5x =…

A:

Q: Express th equation in exponential form.

A: a). Given, lnx+1=2 The exponential form is, x+1=e2         ∵lnx=y⇒x=ey⇒x=e2-1

Q: dy = (x +y – 1) + ¥+y log(x +y)

A:

Q: = (2n + ²2 ) πi (b) log i 2n + лi (n = 0, 1, 2, ...);

A: We can write i in the form of exponential function.

Q: What is the Domain of f(X) = log3X?

A: We have to find the domain of the function  f(x) = log3 x

Q: [ Зх +1 x – 3 A 3x + log (x- 3) 3x + 10log (x- 3) в Зх + log. (x- 3) +с 3x + 10log (x – 3) + c

A:

Q: Let f(x)= 7x log(7x) log(x) ex °log(x) find f¹(x) F

A:

Q: 1. log,(12) + log6(3) log_( 2. log 250 +log 40 log_(_ 3 3. loga a) + log8 (;) log_(_ %3D ||

A:

Q: 5. Determine if the following are true or false. loga logb _a) log = logx – 3 logy d) log %3D 3 _b)…

A:

Q: log3 [X² 4²³) 7 A) 9 log3 (x) + 8 log3 (y) - log3 (7) C) (9 log3 (x))(8 log3 (y)) - log3 (7) O B) 9…

A: Using Log(xy)=log(x)+log(y) And log(x^a)= a log(x)

Q: e = exp(1) is called the exponential function. Which of the following are true?

A:

Q: Which of the following functions are qx²)? ☐ 1x) = 17x + 11 (x) = x² +1000 f(x) = x logx (x) = x^/2…

A:

Q: In 2 log2x

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If log7(8)+log7(18)=log7(n) then n=    If log(37)+log(n)=log(7) then n=

A: GivenIf log7(8)+log7(18)=log7(n) then n=   If log(37)+log(n)=log(7) then n=

Q: 2(q-1)(1–u) + (q-1)(2–u)u+1 log((q-1)(2-u)u+1) > 0 for u > Show that

A: Use some predefined quantity to prove the given expression is positive.

Q: 2. log (3) + log (9)

A:

Q: log x+ log(x²/y) + log(x³/y²)...... to n terms

A:

Q: log3 A) 9 log3 (x) +8 log3 (y) - log3 (7) C) (9 log3 (x))(8 log3 (y)) - log3 (7) B) 9 log3 (x) - 8…

A: