c) Find the value of x given that 2 1 2log =-log.x-log 18+log16 3 2

Q: 2 Find x so that log10 x = log, 10

A:

Q: Show that, log5 x can be expressed as 2 log, x, where b> 0.

A:

Q: Find the domain of the function h(x) = log3(x + 6)2.

A: Given function: hx=log3x+62

Q: For f(z) = 3e7'the value of log(f(z)) is

A: Given,       f(z)=3eπ6i

Q: Solve the following equations for x (a) 31-x - 92x (b) log2(z – 2) + logą z = 3

A: On solving the first

Q: 5. Given that log 2 = x and log 3 = y, express log /54 in terms of x and y.

A:

Q: . Given x = 22 log3 (9) , what goes in the blank of y

A:

Q: Solve for the exact value of x. log2 (3æ) + 4 log2(4) = 2

A: Topic-logerthimic

Q: -3 7) log4 x = 2

A:

Q: Which of the following equals 2 log(9) + 2 log(x)? O log (9'a) log(2 9 2a) O log (2 -9 a2) 2.9 log…

A:

Q: Find the equation of the line l illustrated in the figure above, given that f(x)=10x and the point A…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is the first point is…

Q: 5. Solve for x without using a calculator: log. (x) + log,(x – 16) = 2

A: The answer is found in step-2

Q: log10y+3log102=5 express y in terms of x

A: Consider the expression  log10y+3log102=5

Q: Solve the following logarithmic equation: z=7, k=3 log;(Z + 8)x7 – log3(2K +9)x³ = log;(Z + 5)x² +…

A: Given,         log3Z+8x7-log32K+9x3=log3Z+5x2+4Z+K-6         When Z=7 , K=3

Q: 2. Given that x> 0, the value of x for which log, x + log,(6x + 1'0) = 1 is D

A:

Q: 4. Find all the values of z for which each equation holds. (a) Log(z – 1) = -i. (b) exp(z+1) =…

A:

Q: a2// A Solve for x Logox + Log1ox = 30 B- E Recognize if the functions are even or odd:

A:

Q: Find the solution set for log3 2+2.log, x=|

A:

Q: Given that p = loga 4 and q = loga 5. Express loga 100 + loga 0.4 in terms of p and q.

A: The given value of p and q are p=loga4  and  q=loga5.

Q: Solve for r: log(z) + log(z + 4) = 5

A:

Q: 4. Determine the co-ordinates of the point of intersection of the graphs of f(x) = 5(3*) %3D log a…

A: The given curves are  f(x) = 5.3x f(x) = 7.2x

Q: Solve the following: . Find the solution set for log3 2+2.log, x= log3(7x-3)

A:

Q: 1. Solve for the following for x: Log6(x+2) = 2

A: We have to solve

Q: Find the domain of the function. f(x) = log5(8 - 2x)

A: Given function is fx=log58-2x. To find the domain of the function. Solution: Domain of a function is…

Q: 7. Solve for x: 48 = 6e4x b. log (x?) + 3log (x) log (32) а.

A: Given : a) 48=6e4x   b) log(x2) +3logx=log32

Q: 5. (a) Solve for x, if log1o(10x + 20)- log10(2x-6) = 1 (b) Given that log10 7 = 1.473, find without…

A:

Q: . find f'(x) if f(x) equals the given expression. a. log (x4 + 3x2 + 1) b. log (3x2 + 2)5

A:

Q: (b) 2log(x – 3) – log(x – 1) = 0

A:

Q: 5) Show the proof that loga M" = r· loga M

A:

Q: (b) 8[log(2-j3)]e

A:

Q: (2) Combine the following into one single logarithm with a coefficient of 1 in front of the entire…

A: 6log4x-5-34logx+log9x-1

Q: Let f(x) = logb(3x^2 − 2). For what value of b is f'(1) = 3?

A: Explanation of the solution is given below...

Q: Find the domain of the function. f(x)= log %3D

A:

Q: b- find x for following 1. logx = v2

A:

Q: Q1:B. Find the solution for x: log (væ+1+1) 3 log Vr – 40

A:

Q: Q1 Given that f, g and h are functions of the variable x, differentiate (c) x+ logfog h

A:

Q: Find the domain of the function. .8 F(x) = log 5x° %3D

A: Given:- f(x) = log5(x8) To find:- Domain of f(x)

Q: Solve for X, Show all work A. log(x)+log(x+3)=1 B. 2log(x)+log(2)=log(5x+3)

A:

Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

A:

Q: (b) Find the value of x: log ; x - log ; Vx = log 9- log ; 3

A: Basic concepts: remember these properties:

Q: 19. f(x) = log,(7)* 20. f(x) = xlog101000 %3D

A:

Q: 2. Solve for x, to one decimal place. (b) 7* = 35 %3D (a) log, 56 = x

A:

Q: Find the value of b so that c(x) logbx passes through the point (27,3) A. 3 B. 9 C. Square root…

A: Solve it.

Q: b) Find the value of x that satisfies log(x+3)− log x = log x+log 2.

A: Follow the procedure given below.

Q: 6. Find the domain of f(x) = log, [log, [log3(18r – x² – 77)]]

A:

Q: 4 If log3 (x + 1) – log3x = 2, then x equals: F - - 8. 6. G H 8. | 15

A:

Q: 4. Solve for x , show all work and round off to three decimal places if necessary. a) log 83 = x b)…

A: b) The given equation is log3y=1.69 Use the base theorem, logab=ln bln a. 1.69=ln yln 3ln y=1.69· ln…