I .   Solve for  x:     log 10  ( x   +  6  ) +   log10 ( x  -  6 ) =   2                      ½  log a  ( x  +  2 )  + ½    loga ( x - 2 ) =  2/3 log a  27

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

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Q: 11. log( 2x + 9) + log( x + 3) = log( x² +1) Solve.

A: Logarithm is the inverse function to exponentiation. Logarithm of a number is the a quantity…

Q: (1) (a) Solve the following: 1 (i) 2*-6 8 (ii) log, (x+3) =1– log, (x-1) = -

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

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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: 5. The height of a drone in m over time in minutes is given by f(x) = 3 - log ,(x - 1). The height…

A: Given query is to find the time when height of the drone will be same.

Q: The solution to log₃(log₂x) = 1 , is:   A. x=4 B. x=8 C. x=1 D. x=2

A: Formula: If logab =c  Then b=ac

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

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Q: solve for x in the following equation: log2(x-2)- log2 (x-5)=3 a. x=38/7 b.x=27/5 c.x=6 d.…

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Q: Solve the following: 1 (1) 2*-6 8 (ii) log,(x+3)=1- log,(x-1) =-

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Q: Solve for X: 53x +1=17 log5-log17 3log5 log17-log5 5log3 log17-log5 3log5 No Solution O log5+log17…

A: Given; 53x+1 = 17.

Q: (x-2) log.(x2 - 4) – 2 log (x-2) + loga (x+ 2)

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Q: Solve 3"-1 – 2 log2(3) +1 log3 (2) +1 O log3 (2) – 1 Find the solutions to log (x + 3) + log (x – 2)…

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Q: Express as a single logarithm   In x2 -2x-24/x-2-In X2 +2x-8/x+9 + In(X2 -12x+36),  x>0

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Q: Find the exact solution for e2x−4ex−32=0.   If there is no solution, enter NA.   Enclose…

A: Please follow the next step.

Q: 1) Solve for x and y in the following simultaneous equations *a) log, x = 2; 5y= x +12 log, y *b)…

A: We have to solve for x and y in the following simultaneous equations.

Q: 9. Condense (log4x – log4y)+2 log4(x+1) into a single logarithm with a coefficient of one.

A: Explanation of the answer is as follows

Q: Express as a single logarithm   In x2 -2x-24/x-2-In X2 +2x-8/x+9+ In(X2 -12x+36),  x>0

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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: solve for x in the following equation 2e^3x-1=10

A: To solve the equation

Q: (1) (a) Solve the following: 1 (i) 2*-6 8. (ii) log,(x+3) =1– log,(x-1)

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

Q: (1) (a) Solve the following: 1 (i) 2*-6 (ii) log;(x+3)=1-log;(x-1)

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Q: Find the solution for x: log (vz+1+1) log Vz- 40

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

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Q: a) In (x – 7) = 6 (b) In (x + 9) + In (x- 9) = 1 (c) log sx - log 52x = 2

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Q: Solve for x in terms of k. log; a – log3 (x + 9) = log3 k. %3D - x = 1 Find æ if k = 3

A: Use property of logarithms to solve

Q: 5. (a) Solve for x, if log1o(10x + 20)- log10(2x-6) = 1 (b) Given that log10 7 = 1.473, find without…

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Q: 1. y = e9z-5 2. y = 2x ln(x +2) 3. y = (2x – 5) log(3x² – 6æ)

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Q: 25. Solve for x if log 3x = -2. А. 1 В. 1 C. -9 D. -6

A: Our Aim is to solve for x if log3(x)=-2 -(i)

Q: 2 Solve (x²D² - xD + 4) y = x² sin (log x).

A: Given differential equation is x2D2−xD+4y=x2sinlogx. We have to find the general solution of the…

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 =…

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Q: 3. 9. a) Solve for x: log4 xX = b Write as a single log: 2log, 3x + 3log5y – 4log5z

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Q: 9) Solve for x and y in the following pair of simultaneous equations log (x+ y) = %3; 2 log x = log…

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Q: 4. Find the solution set of log3 (2x +6) + log3 (2x-2) = 2. |

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Q: Solve for x, log 7 (x − 4) + log 7 (x + 2) =1 and state restrictions

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Q: Q3. (i) Solve for x: a. 32x = 22x-4 b. Vlog2(x – 8) + log2(x + 8) = 64 %3D

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Solve for x. 3-2 = 15 O x = log153-2 O x = log 15+2 O x = log3 15 +2 x= log3 15 - 2

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Q: A) Using two iterations of the Simple Iterative Method, find the root of the following equation 2x-…

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

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

A: Basic concepts: remember these properties:

Q: 4. Solve for x: a. 100(1.04)²x = 300 b. 2+ log v1+ x + 3 log VT–x = log v1 – x² c. V35x-I = 9 d.…

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Q: 1. solve for x, log2(3x-2)=4.    2. use the laws of logarithims to rewrite 7log x - 3log y as a…

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Q: 1.Solve by logarithmic differentiation (x+1)(x+2)(x+3)2 Y=In( V(x+3)3(x+4)4

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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: Solve for x Log 5 (4x + 10) – log 5 (x + 1) = 1

A: Topic : logarithm

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

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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,