3. Solve. Show steps. 2 log x' - 5log x = 3

Q: (a) log,(5x – 1) + 6 = 9 (b) 163x+1 = (4)*-1 %3D (c) In(x + 6) = In(11) – In(x – 4)

A:

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

A: We first write the inner expression using an exponent.

Q: Find the largest value of x that satisfies: loge (2) – log,(r + 1) = 6

A: Use the properties of logarithmic function, to rewrite the given equation.…

Q: Q2: Solve the Logarithms Equation. logtan nx (2 + 4 cos?nx) = 2

A:

Q: 3 1. y = logVV12x %3D

A: 1. Given function is y=log12x3. Solution: We know that, logab=b loga Given function can be…

Q: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

A:

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

A:

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 0.056

A: We have to find ln(0.056) in terms of ln(5) and ln(7) Before that, write 0.056 in fraction

Q: -3 7) log4 x = 2

A:

Q: Which of the following represents the domain of h(t)=−log(x)+3?   (2,∞) (−2,∞) (−∞,∞) (−∞,0) (0,∞)

A: Given function :

Q: 7. If (0.2)* = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:

A:

Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

A:

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: 1) Solve for b. Express the result as a reduced fraction. 1 log, 4 3

A:

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

A: Let the given expression is:

Q: Which of the following functions grow faster than In x as xoo? Which grow at the same rate as In x?…

A:

Q: 6log3(t + 4) = 36 %3D log3(t + 4) = %3D t = II

A:

Q: log 10x dx

A:

Q: ( 3x+log; x dx = ? ||

A:

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

A:

Q: Solve the following equations: 2 x³ = 49 3*.27*=9 √5*=25(x-1) d. b. log₂ (6x-4)=-1 28=2(5*)

A:

Q: 8. Without solving the equation, state the restrictions on the variable x in the following: log(2x -…

A: .

Q: 6. If log y-2 and xy-27, find the values of x and y.

A: Given query is to find the value of x and y.

Q: How long (in years) will it take a $200 investment to be worth $900 if it is continuously compounded…

A: We need to find time when $200 will be worth $900.

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

A:

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

A: Solution:- the given term is A=ln(32) as we know that  ln(m×n)=lnm+lnnand ln(a)b=bln(a)

Q: (b) 2log(x – 3) – log(x – 1) = 0

A:

Q: 2 log , x + 12log, y

A:

Q: Evaluate loge 7 by Simpson's (i) rd, and (ii) th rules.

A:

Q: 4. S(x) = log,(-x)

A:

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

A:

Q: 2. Express the indicated logarithm in terms of a, b and c with the assumptions that log 2 = a, log 3…

A: To express the indicates logarithms in terms of a,b and c.

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: Solve for r: log(z + 4) – log(z+3) = 1 You may enter the exact value or round to 4 decimal places

A: Since the question has multiple questions but according to guidelines we will solve the first…

Q: 17. Find the value of x without the use of calculator 1 log, 3. 4

A: Given:

Q: a and In 3 = b. Use properties of logarith 31. In 1.5 %3D In

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: 9 log, x = 2 4

A:

Q: Find the equation of an exponential function of the form f(x) = a · bº that passes through the…

A:

Q: (b) Show that 1 1+ 2 tanh- (2) = ; log

A:

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

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: Solve for z: log(z + 5) – log(z + 3) = 2 You may enter the exact value or round to 4 decimal places.

A: Given: logx+5-logx+3=2. To be find: solve for x. The properties of logarithm to be used are as…

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: 8. Solve. Give EXACT answers only- (a) e**1 = ! %3D (b) 3log2(x – 1) = 5 – log24

A:

Q: 2. Solve the following equation for r. log2(2.r + 3) – logz(r + 4) = 2

A: Use the properties of logarithm to solve this problem.

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: Find a formula for the exponential function passing through the points (-1,3232) and (1,6)   Y= ?

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…