Solve the logarithmic equation for x. (a) log(2x) = 3 (b) log(x + 1) + log 2 = log(5x) %3! (c) 5 In(3 – x) = 4 (d) log2(x + 2) + log2(x - 1) = 2

Q: O log (x)+Log (x-1) = log (8X-12)-1eogL2) %3D Ans/x= 2,3

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

Q: Find the domain of the logarithmic function :  f(x) = ln(x2 - x - 2)

A: Inside log we can not have negative number. So, x2 - x - 2>0

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A: The following logarithm property will be used to solve the equation: The given equation is .

Q: 4 log 4(x + 4) -p- X+4

A: Given: ∫04log4x+4x+4dx

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Q: log. (2-1)-log. (x-u)= 2 log Cao) (x-4)=

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A: Given logarithmic equation is: ln 3x = 8.2 We have to solve the above equation for x.

Q: log(x-20)-10g(8) = (og(x-l2)-109(x)

A: We will solve the equation.

Q: Solve the logarithmic equation for x. log3(x + 15) - log3(x - 1) = 2

A: log3x+15-log3x-1=2

Q: Solve the logarithmic equation for x. log2 3 + log2x = log25 + log2(x - 2)

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Q: "b) Find the value of log (-3 – 3i).

A: you can clearly understand if you follow the below solution

Q: Find the domain of the logarithmic function f(x) = ln(x - 1)2.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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

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Q: 4 log 4(x + 4) -dx3= xp- X+4 0.

A: Given : ∫04log4x+4x+4dx

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Q: 49. log2 x > 3 - 3

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Q: The solution of the logarithmic equation log 2 + log (x + 5) = log 36 is

A: We have to find the solution

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A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Solve the logarithmic equation for x. (a) log(2x) = 3 (b) log(x + 1) + log 2 = log(5x) (c) 5 In(3 –…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: 9. Solve the logarithmic equation 3+log(2x+5)=2.

A:

Q: 2 log x + log2=log32 Solve for x

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A: Given: log5 x+log5x+1=log5 20 To Find: To solve the given equation for x.

Q: Solve the logarithmic equation for the unknown x. log4(x + 1) – log4(x – 1) = 3 |

A: Given : log4x+1 -log4x-1 =3

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Q: Solve the logarithmic equation. log (x- 2) - log a(x + 9) = log a(x- 5) – log (x + 4)

A: Given equation logax-2 -logax+9 =logax-5-logax+4

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Q: log3 (x^2-2x)=1

A: Given expression is,

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A: Given expression is,log(3+x)-log(3-x)=log(3)Then,

Q: Solve the logarithmic equation for x. log4(x + 2) + log4 3 = log4 5 + log4(2x - 3)

A: Given  log4x+2+log43=log45+log42x-3 The logarithmic rule used here is  logtab=logta+logtb So the…

Q: log2(x2 + 2x) = 3

A:

Q: 8. Solve the logarithmic equation for x: log, (4- x) = 7 (1) x = 2191 (2) x = 2183 (3) x = -2191 (4)…

A: We have to solve the logarithmic equation  log34-x = 7.

Q: Solve the equation for x .   a) ln( x + 1) + ln( x - 1) = 1  b) log5(c x)= d

A: Part (a) - lnx+1+lnx-1 = 1lnx+1x-1 = 1                                  lnab = lna+lnblnx2-1 = 1…

Q: 3. Solve the logarithmic equation log,x + log2(x-6) = 4

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A: we have the exponential function : log10-x=loge4 First we have to find the exact solution of this…

Q: Solve the logarithmic equation In x + In (x+3) = In 1

A: