4. Use the change of base formula to find an approximation to four decimal places: log 5) 5. Solve 0.8x = 4 6. Solve 6+1) -4(2x-1) For questions 5 through 11 give your answers in exact form. 7. Solve 5(1.2) Зх-2 +1-7 8. Solve In(2x) ln(x + 5) 9. Solve In(x) + In(x2) 3 10. Solve log (8-3x)=3 5 11. Solve log, (2x +8)x+4)=5 Ln

Q: IV. Solve the following equations. 9. 8. 14-2x-5 + 2 = 34 10. log, (6 – 4n) = log6(3 – n) - 1+x 11.…

A: As per bartleby expert policy only first individual question is to be answered. Kindly repost…

Q: 18. Solve the following logarithmic equation: In(x + 31) – In(4 – 3x) = 5 ln 2. O x = 2 O x = 1 O x…

A:

Q: Find the exact solution for e2x−2ex−35=0. If there is no solution, enter NA.   If there is no…

A: Given  equation e2x - 2ex  - 35 = 0

Q: The following shows Bisola's work in solving the equation. What is Bisola's error, any? if Step 1:…

A: Solve the equation.     253x+15=5

Q: Solve for x: log (x + 3) + log x = 1. Show that the above equation will have an irrational root if…

A: Solution: To find value of x, log2(x+3)+log2(x)=1log2((x+3)(x))=1   (property of logrithm…

Q: B. Find the sum of the solutions to the logarithmic equation 2log 102-3 log r+2(log :)2 where log r…

A:

Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – Inx- In(x+ 5) = 0 (b) 81-x = 4x+2 (c) 22x +2x –…

A:

Q: 15. Solve log5(5 – 3x) – 2log;(7 + x) = 1

A:

Q: 10) Solve the logarithmic equation In(x+1) – In(x – 4) = 1. -

A:

Q: 3. If 19.4 = log (ab) and 7 = log₂ (a), where > 1, then log, (b) equals H 12.4 26 2.8 135.8 ◄ Prev…

A: We want to find the value of logxb.

Q: Solve for z.  Log(z)=1-i   (Also, is there a case where there are four distinct solutions?  Or…

A: Given logz=1−i We have to solve the equation logz=1−i for z Use logarithm property  logm=n⇒m=en

Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x + 5) = 0 (b) 81–x = 4x+2 (c) 22x + 2×…

A:

Q: Given that, Log2 x + 2log4 y = 4 show that xy = 16 Hence solve for the simultaneous equations:…

A:

Q: Solve for the value of x in log 2 (2x+12) = 5. %3D

A: If  logxy = z then,y = xz

Q: Solve graphically with your calculator. Round answers to 2 decimal places. а.) 4* = VE b.) log r =…

A:

Q: 4. Solve the following logarithmic equation: log3 (Z + 8)x7 – log3 (2K + 9)x3 = log3(Z + 5)x2 + 4(Z…

A:

Q: 4. Solve the following logarithmic equation: log3 (Z + 8)x7 – log3 (2K + 9)x3 = log3 (Z + 5)x2 + 4(Z…

A: loga(B) + loga(C) = loga(BC) loga(B) - loga(C) = loga(B/C)

Q: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y – 3 loga x 6.…

A: This is a problem related to logarithm properties. Based on the general formula we can answer the…

Q: In LRT reject H, when Ais small, so we reject Ho when the value -2 log A is small Select one: True…

A: Answer : False

Q: 3) In x-log x = 1. Answer should be in the natural exponential form. %3D

A: This is complicated and lengthy problem, so I can do it in Advanced Mathematics.

Q: (b) 5" (2 – cot 5")(1 – csc 5“) dx SC 11 – 2 log x (c) / dx JIV6 log r – logʻ 1 x/6 log x -

A: You have asked Only part b and c

Q: 4. Show that id 5D accuracy is required to calculate the value of log(1+x) at x=0.1,0.5 by using the…

A: Given equation is log1+x=x-12x2+13x3+.....+-1n+1nxn+Rn+! So, Rn+1=-1n+2n+1xn+1 So, maximum relative…

Q: Implementing the guidelines mentioned in "4.", can you demonstrate the steps to achieve the answers…

A:

Q: The half-life of plutonium-241 is 13 years.  What is the decay constant?  Use the approximation…

A:

Q: 4. (a) Use logarithm properties to expand In ( (@+5)(x – 6)² (x+ 3)3). (b) Rewrite log3(x) + log3 (y…

A:

Q: Solve for x. (a) In (x – 3) = 7 (b) In (x + 4) + In (x - 4) = 1 (c) log gx² - log ,2x = 3

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: 5. Solve the equation log(x +2)=1- log(x – 1). Identify any extraneous roots.

A: Solution

Q: 2. Solve for x. 45x-x² = 4-6 a. b. (1 − x)5 = (2x − 1)5 - 60 c. 55 = 1+5e-0.6x d. 3 log x + 10 =…

A:

Q: 1. Given that z=8-6i, write its exponential form. Round off decimal answers up to 3 decimal places.

A: Here, a=8b=6

Q: 7) Propose an equation similar to log 4 + log x = log 27 whose solution is 9 %3D

A:

Q: (1) Solve the following: (a) 42x-1 (d) In 3- In x - In(x+ 5) 0 (c) 22x + 2x - 12 = 0 (e) log,(x+ 2)…

A: Use property of log to find value of x. Note that first find domain of function. That means value of…

Q: 8.1 Solve for x: log (x + 3) + logr = 1. 8.2 Show that the above equation will have an irrational…

A: 8.1) Given that, logx+3+logx=1

Q: 8. Let b be a positive real number not equal to 1. Determine the solution of the equation log, (2z –…

A: See the solution step by step.

Q: 1. Solve by using your calculator. log, (-3+2x)+log; (x+1) = log, 9² Round to nearest two decimal…

A:

Q: in The solution of the equation Log(z² – 1) = 7 is %3D Select one: 1 in 1 157 - - 24e 4 and 24e 4 1…

A:

Q: 4. Solve the following logarithmic equation: log; (Z + 8)x7 – log3 (2K + 9)x3 = log3 (Z + 5)x2 + 4(Z…

A: Here, Z=9k=5

Q: If you use the approximation ln 2 ≈ 0.70 (in place of 0.69314 c), you can derive a rule of thumb…

A: Given a rule of thumb that says, “To estimate how many years it will take an amount of money to…

Q: Solve : log z + log 2 = 1 10 100 2. O = 2 T -1 1. -

A: We have to check

Q: 17. When solving log(4x+5)-2log5=3 , which of the following equations will result? (A) 100x+125 =…

A:

Q: 9. Solve the following simultaneous equations: logx+log(y²)=4 log²x-3log(xy)=-5 Where x,y are real…

A:

Q: 1) Solve: 82x-5 32-6 2) Solve: In x In(x 4) ln(3x - 10) Solve: 2 ln(4 3x) 1 = 7 3) Solve: log2 x = 4…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

A:

Q: 1 The solution of the equation Log(-z + 2) = i2n is 4

A: (c) 1+i,1-i,-1-i,-1+i is correct. We have to solve the given equation, that is, Log14z4+2=i2π…

Q: 1の4--9 aub FVAM ATを l0gb logA 164 こ てレフ)

A:

Q: Given that log, x + 2 log4 y = 4, show that xy = 16. Hence solve for x and y in the simultaneous…

A:

Q: calculate the first four iterations for the approximate value of the root of the function f(x) =…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.