Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

Q: What is the base of the following logarithmic function: h(x) = In(x) 2 T 10

A:

Q: Express the following logarithms in terms of ln 2 and ln 3.c. ln (1/2)           d. ln( 9)^1/3

A: Given: c  ln12  d ln913 Formula Used: 1 lnmn=lnm-lnn2 lnxn=nlnx

Q: Express the following logarithms in terms of ln 2 and ln 3.a. ln 0.75                 b. ln (4/9)

A: (a) ln 0.75 = ln (3/4) = ln 3 - ln 4 = ln 3 - ln 22 = ln 3 - 2 ln 2 Hence the answer.

Q: - The property of logarithms states that log for positive real numbers b, x, and y, where b + 1.

A: According to the Quotient rule property of logarithm: logamn=logam-logan,    m,n,a>0 and a≠1

Q: 4. Find the value of x in each of the following (convert to exponential form to help!). a) logX = 2…

A: Note:  Hello User, as per company policy we should answer only for first three subparts of the…

Q: If loga = logx – 2(logy + logz), then a is equal to O Ax-y²z? В. Х v²z? O C.x-2y+2z OD. X 2y +2z

A: given,

Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log„1121 b.…

A:

Q: 4. Find x if the base 3 log of (2x+3) is equal to 4. 30.5 81 O39

A:

Q: B. If z = a + bị and a + bi =r < 0, what is a. The logarithm of z b. The exponential function of z

A: Given z = a + bi

Q: 1. Which of the following is equivalent to y= log, x ? (1) y = x' (3) x= 7" (2) x = y' (4) y = x%

A:

Q: D. If z = 2 iV12 find: | i. the natural logarithm of z 11. the square root of z

A:

Q: (1) Expand the following into as many logarithms as possible, with what's inside each simple as…

A:

Q: 2 Which of the following is equivalent to log.(m) - logm(20)? F 5 G 80 log(5) log(m) K log.20

A: This can be solved by logarithm properties

Q: Express the given quantity as a single logarithm 1/7 ln(x + 2)7+1/2[ln(x)-ln(x2+3x+2)2]

A: Formula used:

Q: 2. Evaluate the following a. log i b. tanh(3 + i) c. (2- i)¹

A: Solution:-

Q: The derivate of y = 4 logx? – 5*² is | 8. 8. (2x) 5* In 5 5 x² In 10 x In 10

A: Derivative of the function

Q: Evaluate dx -[In(x³/6x +5)]. HINT: Use the properties of the logarithm before differentiating. 3 OA.…

A:

Q: Solve the following equations for xx using the natural logarithm:  11⋅4^x=2e^−3x

A:

Q: . Express the following logarithms in terms of ln 2 and ln 3.e. ln 3sqrt(2)             f. ln…

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

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: Express the following logarithms in terms of ln 2 and ln 3. ln √13.5

A: Express ln13.5 in terms of ln2 and ln3.

Q: Given that y = log, 11 and 64 %3D x = log 2, what is logp expressed in terms of x and y? a. 2х-бу b.…

A: We are given that y=logb11 and x=logb2. We need to find what is logb64121 in terms of x and y. Now,…

Q: Express the following logarithms in terms of ln 5 and ln 7.e. ln 0.056          f. (ln 35 + ln…

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: 7. Determine the general value of the following: a. In (3+j5)i b. log(-5) (6+ j4)(l+/2) С.

A:

Q:

A: To express each of the following logarithmic expression as a single logarithm.

Q: I. Find the natural logarithm of the following when z equals: 1. –10 2. –3 – j4 3. 0.6 + j0.8

A: To find the natural logarithm when z equals 1) -10 2) -3 - j4 3) 0.6 + j0.8

Q: 2 log , x + 12log, y

A:

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

A:

Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log1121 b. 4…

A:

Q: (9 – x)6/ 5/6 a = In(a) ? v| In(b). V ? Rewrite the given function, y = In Apply the logarithmic…

A:

Q: 9

A: We need to solve

Q: Given that log z =2, log y = 3 and log z = 4 find log () %3D O 13 O 9 8. O 7 O 11

A: We are asked to find the log

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 9.8

A: The given expression is ln 9.8

Q: Which of the following is equivalent to log( V2x+y ? (2x+y) O In (In(2x+y)-3 In y) In 10 In(2x+y) 3…

A:

Q: Given that log a 2, logy 3 and log z = 4 find log () %3D %3D O 13 8. 7 O11

A: given: we have to find the value of .

Q: Fully expand the following logarithmic expression into a sum and/or difference of logarithms of…

A:

Q: 13. Express the following equations in exponential form. (a) logs 5 = 1 (b) log, Q = k (c) In 30 =…

A:

Q: . Use the Laws of Logarithms to expand the expression.

A: We have to use the laws of logarithms to expand the expressions: a logxy3z2      b lnxy     c…

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

A:

Q: express each of the following as a single logarithm.   4 In u - 2 In 3   In 8 + 2 In x   In x…

A:

Q: 2. Evaluate the logarithm by using properties of logarithms and the following facts. log x = 2.5…

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 0.75

A: To express ln0.75 in terms of ln2 and ln3

Q: 4. Solve the following natural logarithm for x: In (e?) = x A. 2 В.х C. e* D. In x O A O B

A: We have to find

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√9

A: To express:  ln 3√9 in terms of  ln 2 and ln 3.

Q: 3. Which of the following is equivalent to log *? (1) log x– log y (3) 3log x--logy (2) 9log(x-y)…

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln (4 / 9)

A: Given logarithm ln49 The objective is to expression the logarithm in term of  ln (2) and ln(3)

Q: 2. Use the properties of logarithms to condense the expressions as a single logarithm. 4. log a – 3…

A: We have to solve given logarithmic expression.

Q: 1. Find the natural logarithm of the following when z equals: 1. -10 ii. –3 – j4 jii. 0.6 + j0.8

A:

Q: Given that log z = 2, log y= 3 and log z = 4 find log () %3D %3D %3D O 29 O 25 O 31 O 26 O 27

A: