. Solve for x: log2 (x) – log2(x + 2) = 3 – log2(x – 1) -

Q: 18. Find the domain and range of g(x) log2(x+3).

A: Domain of log is always greater than 0 .

Q: Find a number E such that log (5z + 1) = 2

A: The solution is given below.

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

A: Given function: hx=log3x+62

Q: x] is a O log 2

A:

Q: Find the value of Log(-1+i) In/2 – in/3 lny2+ ίπ/4 in5-ίπ/6 ly2 +3ίπ/4

A: Solution:

Q: 25łn²(x) log (x) dx

A:

Q: log(2² – 2y² – 4x²) In(2 – |2|) - g(x, y, z) = -

A:

Q: Solve for x in log,(x+1) + log4(x – 1) = log4 15 . A. x= 5 В. х3 4 C. x= 14 D. x= 3 or x = 1

A:

Q: Find the exponential function f(x) = a* whose graph is given. f(x) = 2 (-1, 1/4) -2 -1 2.

A:

Q: The graph of the function f(x)=log5(x) is stretched vertically by a factor of 2, shifted to the left…

A: Given: The parent function is f(x)=log5(x). Transformations: 1) Stretched vertically by a factor of…

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

A: Consider the expression  log10y+3log102=5

Q: The graph of every exponential function f(x) = ax , where a > 0 and a ≠ 1, passes through three…

A: f(x)=ax

Q: Hw/ Selve: O log(x)+log (a-) = log (8K-1a)-legL2) Anyx,3 An s/K=3

A: Here we have to solve ,  a) log(x)+log(x-1)=log(8x-12)-log(2)b) 2ln(x)=ln(3)+ln(6-x)

Q: woubnat Solve for x 7* = 12 a. b. log(x+5)+log(x-4)=1 c. log, (x+3)-log, x= log, 7 %3D d.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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

A: Given: fx=log3x+6 we know that in logax, domain is x>0, a>0-1

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

A: We have to solve

Q: Find the domain of the function. h(x) = log3 [ x/ (x - 1) ]

A:

Q: Find the domain, range, x- and y-intercept of  f(x)=log3(x+3)-2 f(x)=ln(2x+2)-1

A:

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: Q3\ Solve for x: a. log(20x + 1) – log(x – 2) = 2 b. In(x - 2) + 2 in Vx+ 3 In6 %3D

A:

Q: Find the domain of the function. H(x) = log5 x3

A: The given function is H(x) = log5 x3

Q: Find the largest value of x that satisfies: log, (22) – log2(x +1) = 2

A:

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

A: g(x) = log3 x + 6 g(x) = log3 (x + 6)         We know the domain of  logaX is real numbers greater…

Q: Find the value(s) of x for which the equation is true. log(x + 3) = log x + log 3

A: We have to find the value of x for the given equation: logx+3=logx+log3 We know the properties of…

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

A:

Q: d) log2 (2x2 – 5) = 3.65

A: To Solve the equation for all real values of x Given the equation  log22x2-5 = 3.65

Q: Deduce the relationship between y and x from the graph shown. log(y) 3.7 0.7 log(x)

A: The general equation of a line in two-point form is: where x and y are variables of horizontal and…

Q: r(x) = 5 log4 (3x + 10)

A:

Q: a- Simply the following 1. Inx – In(x2 – 1) + 2ln(x + 3) 2. 5log2 + log3 - log8

A:

Q: Find the integral: log2 X dx In(2)/ 082(x) + C 2

A: Put logx = u then solve it.

Q: 2. Compute for the value of x in a given logarithmic inequalities loga(x+1) > log:(x2). a. x > ½ b.…

A:

Q: 5. Find the domain of f(x) = log(x-4)

A: The given function,   f(x)=logx-4

Q: The value of x for: log. (e) +4g(9 =x'log(10) is:

A:

Q: Solve the following equation for x:  log(x+1) + log(x+3) = log (x+7)

A:

Q: Find the domain of the function. x+4 h(x) = log ɛ %3D

A: We have to find the domain of the function h(x) = log8x+4x.

Q: 36. Determine the x-intercept(s) of f(x)log2(3x-4)1

A: Rules:x intercept(s): is (are) the point(s) where the graph crosses the x-axis. In order to find the…

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

A: Basic concepts: remember these properties:

Q: (a) f(t) = In(5t - 4) 12 (b) g(x) = log(x² - 25)

A:

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

A:

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: dx Evaluate: s (x+1) log(x+1) A --In 10 log² (x+1)+C 2 B In10 In[log(x+1)] + C с = -log² (x + 1) + C…

A:

Q: Find constant A such that log3 x = A log5x , for all x > 0.

A: To find the constant A such that the below equation is true for all x>0.

Q: Solve for x in log4(x+ 1) + log4(x – 1) = log4 15. A. x = 5 В. х— 4 C. x = +4 D. x = 3 or x = 1

A: We need to solve the following equation log4x+1 + log4x-1 = log415

Q: Solve for x (to four decimal places) in each of the following: (0.26) log25) (4x- f) (414)x (1/4)*+3…

A: (f) The given expression is,

Q: Find the domain of the function. h(x) = log3 ( x/(x - 1))

A: Given function: hx= log3xx-1

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…