4 log x + 20 log y- 12 log z

Q: 1) 2-log₂ y = 2log₂ (x+y) log₂ (x+y)+ log₂ (x² − xy + y²)=1

A: We have to solve given problems:

Q: 6 log æ + 2 log y – 5 log z

A: Given expression is

Q: (-1. 1) (3. 1) (1. 0) y= log,) What is the equation of s)? A. log : (x+4) C. log : (x) +4 B. log :…

A:

Q: 11 – 2 log x dx 6 log x – log? x

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Q: 32 25 30 log (6x + 2) + log (x - 3) = 2 d.

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Q: 4) f(x) = log14 × %3D

A:

Q: 10. Solve for y. log(y – 1) + log(y + 1) = log 8 A. -3 2 С. 3 D. 3 & – 3 B.

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Q: log 3 (x + 1) + log (y – 2) = 2 log3 (y) – log3 (r + 1) = 0

A: Given equation - log3(x+1) + log3(y-2) = 2log3x+1y-2 = 2                            log(a×b) =…

Q: log2 (3x – 1) = 3 log,(x + 32) – log.(x - 3) = 2

A:

Q: (b) 2 log(x) – log(2) – log(3x – 4) = 0

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Q: (c) log, 8+ log x² = log x

A:

Q: 2 log (0.001) -4

A: For a positive number n, the logarithm of n is the power to which some number b must be raised to…

Q: i) log, (5x + 4) – log,(4x) = 2. ii) 9e* + 4e-x – 12 = 0.

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Q: 1 (a) log3 81 (b) log, V49 (c) In e

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Q: Write each expression as a single logarithm

A: Given: 3log53x+1-2log52x-1-log5x

Q: 1) log = log r-3 log y

A:

Q: C. log(2x + 1) = log 15

A: Topic:- algebra

Q: c) Log; x + log,(2x – 3) = 1

A:

Q: 11 – 2 log x dx xy6 log x – logʻ x

A:

Q: d) log,1/5 = x %3D e) log;(x + 5) = 9 %3D f) log 400 = 2 %3D

A:

Q: a. f(z) = – log:(z) = - 3 b. f(z) = log3(x) c. f(x) = - log;() d. f(x) = log:() %3D 3

A: Given: a. f(x)=-log13x b. f(x)=log3x c. f(x)= -log5x d. f(x)=log13x

Q: ) log4(4x + 5) = 0 %3D

A:

Q: (d) log(3x) + log 3 = 2 (e) Log2 x + log4 x = 3 (f) In(x2 - 8) = 0

A: Logarithmic properties

Q: -4.5 = log7 a %3D

A: Solving for X ,we get

Q: 1. log(x) +log(x – 1) = log(3x +12) %3D

A: log(a) + log(b)= log(a.b). And, if log(a)= log(b) then a=b.

Q: x5 log %3D y® z5

A: On solving this we will get

Q: ½ log a ( x + 2) + ½ loga (x-2) = 2/3 log a 27

A:

Q: 7. y=x then log y= log x

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Q: 35. (a) log4 x = 3 (b) log10 0.01 = x

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Q: 43) log 4 (x + 4) + log 4 (x - 2) = 2 A) (4} B) (4, -6} C) (5} D) {-6}

A: Given , log₄(x+4) + log₄(x-2) = 2 log₄ (x+4)(x-2) = 2 log₄(x²-2x+4x-8) = 2 log₄(x²+2x-8) = 2 logₙb=…

Q: x-1 y = log x+1

A: Topic:- derivatives

Q: log2(3x – 1) = 3 Select one: О а. х-10/3 O b. x=1/3 О с. х3 -3 O d. x=3

A:

Q: 4. log(x-1) +log(x – 4) = 1"

A: 4. We need to solve the following equation logx-1 + logx-4 = 1

Q: Solve the system

A: The system is given as logx2=y+3 .…

Q: 3. 2 log x< log (2x-1)

A:

Q: 1/2 (log.(e))" (b) dt. 2t

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Q: 4 log(x) log(x2 + 1) + 3 log(x – 1) 5

A: a) Given data:     The given expression is: 1/3 log(x+2)3+1/2[ log(x4)- log(x2-x-6)2].   The given…

Q: 1 (f) log16 VI +1= 4

A:

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

A:

Q: I .   Solve for  x:     log 10  ( x   +  6  ) +   log10 ( x  -  6 ) =   2…

A: We have to solve for x: log10(x+6)+log10(x-6)=2and  12loga(x+2)+12loga(x-2)=23loga27

Q: Solve : log z+ log 7 = 1 I= -6 I = 10 I = 7 100 7. O.

A: Given:

Q: 2. x log x +y = logx. dx

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Q: 2 log(2) + 4log(y) - log(25) - 3 log(d) 2 log(2) + 4 log(y) -log(25) - 3 log(d) = =

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Q: -9 2 log10(x+1) Evaluate dx x+1

A:

Q: 5. 6. (log4(x²) dx x (log4 x)² ORA dx

A: We have to evaluate integral

Q: 3) log 5x- log 8 = 3 4) log, x+ log, (r+ 1)= log, 2

A:

Q: (a) E(- log X) > – log(EX) (b) E[log(1/X)] > log[1/EX] (c) E (X³) > (EX)³

A: Question:

Q: 69. y = log;(x – 1) – 2

A: Question number 69,Given,          The function is y=log3x-1-2.

Q: 1 (f) log16 VI+1 = 4.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2 log3 (x) + + log3 (y) is equivalent to: 2 log3 (ry) O log3 (2ry) O log, (2*y) O log, (zy)

A: