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

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: 14. Solve the equation: log3 (x + 1) + log;(2r – 3) = log, 9

A:

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: 2-Solve the following logarithmic equations. a) Log, 2 – log 4 b) 2 + 5(3*) =3(3*) x +7/6=0 -

A: We have to solve the given logarithmic equations to find the value of the variable x. For this, we…

Q: What is the family of the equation y = log,(x) O quadratic linear O logarithmic Fill in the table of…

A:

Q: 7. Without using technology, solve the equation: log(x + 10) – log(x - 5) = 2 %3D

A: The given equation is: log (x+10)-log(x-5)=2

Q: Solve the equation for x: log20 x + log20 (x – 1) = 1. -

A:

Q: 17. log (x² + 3) - log(x + 6)

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

A:

Q: 12.) Use the laws of logarithms to combine: 2 log x + 1 log(x² + 1)

A: We have to use the laws of logarithms for the given equation.…

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: 1) Solve a) log(x+4)=1 b) log, (2x-3)=2

A: Given problems :- log(x+4)=1  log5(2x-3)=2

Q: 1 (log, x)' 3x ise b =?

A:

Q: 3. Solve the following equations for x: (a) 3*4*+2 = 8 (d) log₂x = 2 (b) 3 lnx + 2 ln x² = 6 (e)…

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Q: 6. Solve the logarithmic equations below: log3 (p – 2) + 9 = 12 b. - 3log4 (2p + 3) – 1 =- 4 а.

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: 2. Solve for x. log,24 – log,2 = logax

A:

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

A:

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: Solve the logarithmic equation. ln e^(x+2) = 3

A: To solve the given logarithmic equation,  ln e^(x+2) = 3

Q: Solve the following equation for x: log3(ln(x)) = 2.

A:

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

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Q: 4. What is b if (log, x)' :? Зх

A:

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

A: Solution

Q: The solution of the logarithmic equation log z + log(x + 5) = log 24 is 3. 11 O16

A:

Q: In (x + 4) + x = 5 log log (x + 1) +3

A:

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

A:

Q: ) for the log equation log(x+1) + log(x-2) =1 The number of solution is ________. The sum of…

A:

Q: 4. State the restrictions and solve: log2 (x2 + 6) = 1+ log2(2x + 1)

A: Given: log2x2+6=1+log22x+1 To solve the given expression simplify to obtain the value of x.

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

A:

Q: 4. Solve the following logarithmic equations: a) logx+log(x+15) =2 b) log,(x+1)= 1 +log, x d)…

A: We have to find value of x for given problem

Q: 17. Solve log3 (5z +1) > log;(3z +1)

A:

Q: 10) Solve the following. log2 (x + 1) = 3+ log2(x + 2)

A:

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

A:

Q: Solve the logarithmic equation for log x + log(x–1) = log(4x)

A: Given, log(x)+log(x-1)=log(4x) By applying the log rule, loga+logb=logab ⇒log x(x-1)=log…

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: 16 Rewrite the exponential equation into its corresponding logarithmic equation. 12 = 144 F log,,…

A: Answer is mentioned below

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

A:

Q: 4 In2 log2 x 1-

A: At first we will change base of log2x to natural log by using base change formula. Then use…

Q: (7) (7 pts) Solve the equation. log(x – 2) + log(x+3) = log(6x)

A: Here given as logx-2+logx+3=log6x

Q: Express th equation in exponential form.

A: (a) Given expression is log35=x. Express the above equation in exponential. logab=c, then…

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

A:

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

A:

Q: 12.) Use the laws of logarithms to combine: 1 2 log x log(x² + 1) - 2

A:

Q: 7. Solve the equation log(x + 2) + log(x - 1) = 2

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Q: 13 1. Solve 2 log, (x + 4) – log2 ( 2.x + 2 = 1 -

A: Given,2log2x+4-log22x+132=1 Used Properties: 1. logaxy=ylogax                            Power…