Q5) Find (x) a) log,(27) + log,(x) = 3.5 b) 2log,(x) – log,(x + 6) = 1 c) log,(x) + log.(x+ 5) = 2 %3D

Q: (h) lim - 7 log: (z) -0- ||

A: Given query is to find the value of indicated limit.

Q: Solve for x using sci notation x=log(y^5) ; if (log y) = 1.2 x 10^-4

A: We have to find value of x by using scientific notation.

Q: 5. Solve for x using log properties: log3 (x) + log3(2x – 3) = 2 |

A: Consider the given logarithmic equation, log3x+log32x-3=2 use the logarithmic property,…

Q: Suppose that log, x = 5 and log, y = 4 compute %3| log, Vx²y³

A: Given

Q: 9. What is the maximum value of |Log z| |2| 1? on

A:

Q: 6. Substitute that time into either x equation to determine where the tackle will occur. 7. Who wins…

A: 6 Now, t=3 sec First we will enter this equation into  x=32-12tx=32-123x=32-36x=-4  Now, enter this…

Q: Show that for 2 degrees of freedom, the probability P of a value 1 of greater than yo is ex and…

A:

Q: Verify the power rule for integration n+1

A:

Q: 5. Show that --I+#^) log, (V +1- x) + log, (VF+1+x) = 0 x². x² + 1 + x

A: We know the property of logarithm, logb(a)+logb(c)=logb(ac)

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

A:

Q: 3. Use Log Rule to integrate. a. Sor5 Sdx а. бх-5 b. S; -dx x(lnx)²

A:

Q: If x2 + y2 = 25xy . Then prove that 2 log(x+y) = 3log3 +logx + logy

A: It is given that x2+y2=25xy add 2xy to both sides  x2+y2+2xy=25xy+2xy using the formula…

Q: 2. Differentiate: a) y = log2(3x) %3D 2 b) f(x) = –7 log(x²) %3D

A:

Q: log of the nth root of x equals log of x to the 1/n power and also equals to

A: The expression ax is the product of a with itself,  repeatedly x times. The function in the form…

Q: Find the Solution set of The followmg equations 2Lo937-310g3 9=7 and LogI3 x-21093 y= 4 and Logs…

A: The given equations are: 2log3x-3log3y=7            (1)log3x-2log3y=4              (2)

Q: 2 1. Express log,(64 x v64*) + log, (46 V256. 43 logarithm

A: Using log44 = 1

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: b- find x for following 1. logx = V2 2.ln(x + 1) = 5

A:

Q: Q4. Find the real root using Regula Falsi method correct to 3 decimal places of the following x…

A: f(x)=x log₁₀ x -1.2 f(0)=0-1.2=-1.2 f(1)=1 log₁₀1-1.2=-1.2 (-ve) f(2)= 2 log₁₀2-1.2=-0.59794 (-ve)…

Q: 7. If log,w= and log; x+logs y=1 , then what is the value of 13 w3D 7 log, +log, 36x y ?

A:

Q: 7. If log, w = and log6x + log6 y = 1, then determine the value of log7 (4) + log6 (36x²y²) ?|

A: topic- logarithmic equations logaa=1log(ab)=log(a)+log(b)logab=log(a)=log(b)log(am)=mlog(a)

Q: 10. Prove that (log2 3)-1+ (log4 3)-1 < 2.

A: Simplify the powers of the term (log23)-1+(log43)-1 by writing the terms as fractions.…

Q: Show that J log(1 + tan0)d= log2

A: Given that: To prove:        ∫0π4log(1+tanθ)dθ=π4.log2

Q: 2. Express as a single logarithm 4 log, x² + 3 log, ) – log, x X 5

A:

Q: 2. Evaluate [log(-1-1)(-2-j2)] tan(4 + 3i) cosh-

A:

Q: What will the coefficient (x – 1)² in the expansion of loge x about x = 1 ? %3D

A: Introduction :

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

A:

Q: The table shows corresponding values of x and y obtained experimentally. By drawing a suitable graph…

A: Estimate the logarithmic values of x and y. Tabulate the values of x, y, log10x and log10y.  x y…

Q: Find all x- and y-intercepts of graph of y = -3 +log2(x2 - x +2).

A: Given function is y=-3+log2x2-x+2

Q: Find all vawes of k don uhich log kx 112 log (x+) has one soluhion

A: Just use basics of logarithm.

Q: Find the value of x5 in 3 decimal places (positive value) using Newton-Raphson Method (5th…

A:

Q: Differentiate with respect to the independent variable: f(x)= log base 20 square root x

A:

Q: 2. What is the extraneous root of 2 log3(x + 4) - log3(-x) = 2?

A:

Q: n of 100 bacteria has a half-life of 28 days. How many bacteria, y, will there be in x days?

A:

Q: Express the following in terms of x without logs or natural logs 1) log100x 2) 1000logx 3)…

A:

Q: 2. Rewrite as a single log (condense): 7 5, loga (xy®) +12lo9 x12 - 5log. (y) 16,,8 8

A: Answer and explanation is given below

Q: How do I expand this logrithmic equation? In(x2 square root of y/z)

A: Given:

Q: solve for x, log(x+5)-log(x+2)=2 please show work.

A:

Q: Find the value of x5 in 1 decimal places (positive value) using Newton-Raphson Method (5th…

A:

Q: Solue this Logistic stochostic differentialegh where ajb,c constant wit) ;win er Process by using…

A:

Q: 2. Evaluate [log(-1-1)(-2- j2)] cosh- tan(4 + 3i)

A:

Q: 5-Solve a) log3x + log3(x + 6) = 3 b) log10 (3x-2) -2log10 X+1 = 2 c) log, (1– x) + log,(2x– 5) = 3…

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

Q: Find the root of x² – e-2* = 0 using simple fixed-point iteration starting at 1. Express the results…

A:

Q: d log, x = 1 dx [(In a)(x)]

A:

Q: Show that 2 + 11n² log,(n³) – 7 = 0(n³)

A:

Q: 2. Solve for x: log, (x² + 8x- 20)–log, (x-2) =2 Ans 2 x=.

A:

Q: Use values of f(x) = In(x) %3D to estimate log ( 6.67 ) using 4th order

A:

Q: 4. Show that sinh-1 x = log(x + vx² + 1).

A: We have to prove the result.

Q: Evaluate / x. sec² 2x. dx. x.tan2x + + ilog(sec2x) + C 2 O log(sec2x) + C O None xan - log(sec2x) +…

A: