Solve logg (x – 2) +  logg (x) = 1

Q: 2. Solve log, x + log2(x – 3) = 2

A: Given:  log2x+log2x-3=2We know that      logmA+logmB=logmA×BThen   log2x+log2x-3=2…

Q: Igebraically solve log, (x + 1) + log, (x- 5) = 1

A:

Q: Solve: log4(x + 3) = 2

A:

Q: Solve for x: 1 loga = - 5 1024

A: Solve for x

Q: Solve the inequality. log x2 3

A:

Q: Solve: log4 (x - 5) = 2

A: To solve: The equation log4x-5=2. Formula used: Logarithmic rule: If logax=N then aN=x. Calculation:…

Q: Solve the equation for x: log, (x-5)+log, (x+3) =1

A: Consider the equation: log9x-5+log9x+3=1. Apply the log property logab+logac=logabc…

Q: Solve for x.    (a) x2 − x = log5 25     (b) 3x + 5 = log2 64

A: Given:x2-x=log525 & 3x+5=log264To determine:Solution of given equations

Q: Solve the inequality log1/2(2x + 3) > log1/2(x - 2)

A: inequality:                                     log1/2(2x+3)>log1/2(x-2)

Q: 2. Solve logi = -1. A. -8 В. 8 С. D. 0 118

A: here option (B) is true

Q: Log x + log4-2log2=log8 Solve for x

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Q: 7) Solve for "x" in the equation log,(x + 2) -1 = 4 (3 decimal point accuracy).

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Q: Solve for x in log3 (x- 7) + log3 (x + 4) = log3 26.

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Q: Solve for x by converting the logarithmic equation to exponential form. log (x) = 4 %3D

A:

Q: log (2– 3i) =

A: To find - log2 - 3i = ?

Q: Solve for x.     (a) log3 x = −1     (b) log2 x = −4

A:

Q: Solve using law of logarithms: log3 (x+3) + log3 (2x - 3) = 1

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Q: 15. Solve the equation. Check for extraneous solutions. log,(4x+ 1) = log,(2x+ 7) !!

A: The equation is given by log54x+1 = log52x+7 To evaluate: The solution of the equation.

Q: Solve e-3x = 2 using the natural logarithm function.

A: Given equation - e-3x = 2Taking ln on both sides - lne-3x = ln2-3xlne = ln2…

Q: Find the domain and solve: log,2,/2 -x

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Q: Solve. log3 (2x – 3) = 4 | Enter your answer in the box. X =

A: We use logarithmic properties

Q: solve this equation  log3(x2+2x+1)=2

A: Given:

Q: Solve for æ in terms of k. log, x + log; (x + 10) = k. Find æ if k = 3.

A:

Q: Solve the equation for x. a).  log3 (3x-2) = 2                                b).  42x-1 = 8x+3

A: a)given equation is log3(3x-2)=2we know that logn(x)=r can be written as nr=x32=(3x-2)9=3x-2∴x=113

Q: Solve the inequality. log(x - 2) + log(9 - x) < 1

A: log10x-2+log109-x<1Apply log rules, we getx-29-x<10  and  x-29-x>0   Solving, we get…

Q: Solve the equation for x value :- In e + 4-2log4x log5 25

A:

Q: Solve for x the equation 2 x b4 logbx = 486

A: Given Solve for x the equation 2 x b4 logbx = 486

Q: 4. Solve the equation log, (x - 3) + log, (3x – 2) = log, 18. Round answers to two decimal places. V

A:

Q: log,z-2 log, "-x - 1 Solve : k - 1**-

A: This is a problem of the application of mathematics. The basic formula of logarithms and surds and…

Q: Solve: log, (x- 3)+ log, (r 4)= log3 (2)

A: According to the addition property of logarithms, we have logax+logay=logaxy According to the…

Q: Solve the equation. log 7 – log x = 2 X = %3D

A: using log property

Q: Solve for x: log, (x? +8x - 20)-log, (x-2)=2

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Q: Solve. The solution is x = (Type an integer or a simplified fraction.) log4x = - 3

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Q: Solve for x.   (a) log4 x = −2    (b) log5 x = 3

A: definition used: if y=ax then x=logay.   By using above definition, log4x=-2x=4-2x=116 Thus, the…

Q: Algebraically solve for x using log properties: log2 x + log2(x – 3) = 2.

A: The given equation is, log2x+log2x-3=2 As, logx is defined only for x>0, thus solution of this…

Q: Solve: loge (log2 x) = 1. %3D

A: The given expression is log6log2x=1

Q: 3. Solve the logarithm equation: log4(x + 8) + log4(x + 2) = 2

A:

Q: Log, x= 34 x=3/4 16

A: The given logarithm is: log16x=34 To find the value of x.

Q: Solve the exponential formula for the variable  I=V/R (1-e^-rt/L) for t by converting to…

A:

Q: Solve log, (3x – 7) = 3. - The solution is x =

A: Use the properties of lograthim and solve for x.

Q: Solve for x in terms of k. log, a + log,(x + 5) = k. x = Find x if k = 10.

A:

Q: Q2: Solve the Logarithms Equation. sin log2(3 – X) – logz 1 + log2(x +7) 5-x

A:

Q: log base 3 (7-2x)=2 Solve.

A: Given information:The given expression is

Q: Solve the equation for x. log4(x + 2) − log4(x) = log4(50)

A: Given:

Q: 9. Solve for x in the equation log, e+ Inx = 4. A) x = 2+ /3 B) x= 3+ /2 C) x=3± /3 D) x= 4+ /3

A:

Q: Solve for x by writing the equation in exponential form. log(5x − 6) = 2

A: The given equation is               log(5x—6)= 2 Since the given log is common logarithm, the base…