log(2x-3)-2=log(4x-1

Q: Solve 2 log5 1x - 32 - log58 = log52

A: 2log5x-3-log58=log52 On simplification, we get ⇒log5x-32-log58=log52…

Q: log (4x - 17) = 5

A:

Q: Solve log 3 =3x+2

A: Given equation is: log 3=3x+2 We have to solve for x.

Q: Express the ratios in Exercises 69 and 70 as ratios of natural logarithmsand simplify.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Solve for all values of x. log, (3x² – 3) – log, (2æ + 5) = 0 -

A: See attached file for a detailed solution.

Q: Log ax5)-Log (7x+2)+lo9_ (8x+3)=3 3. 3

A: The objective of the question is evaluate the equation.

Q: Solve for x log(4x)=log3+log(x-2)

A: We use the multiplication property of log From both sides log cancels

Q: Solve for log2 (4 – x)- log2(3+ x) = log, 6. |

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Q: Solve: log2 x + log2 (x - 4) = log2 (3x - 10).

A: To solve log2x+log2x-4=log23x-10

Q: How long will it take for $4,000 to grow to $9,000 if the investment earns an interest rate of 2%…

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Q: A depositor currently has $6000 and plans to invest it in an account that accrues interest…

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Q: Solve the equation.

A: Given equation is: log62x-3=log612-log63 We have to solve this equation.

Q: Solve log3(x+6)−log3(x+2)=log3x

A: Given: log3x+6 - log3x+2   = log3(x)   To find: The value of x.    Key Point: 1∙loga - logb =…

Q: log2x+log2(x+4)=3 x=

A:

Q: Solve the equation.

A: Given equation: log4 3x+2=log4 5+log4 3

Q: . log, (x² – 6x) = log, (-8)

A:

Q: Equation  7-3 * log3(5x) = log3(3x+7) - 2 * log3(x-9)   Collect the logs into one. Dont need to…

A: Given, The logarithmic equation  7-3× log3(5x) = log3(3x+7) - 2×log3(x-9)  We have to collect the…

Q: log(3-x) = -1

A:

Q: log, (5x + 8) = log,(9x) 5z +8 =

A:

Q: Suppose that $70000 is invested at 9% interest per year. Find the amount of money in the account…

A: Given: Principal (P) = 70000 Interest rate (r) = 9% = 9 / 100 = 0.09 time (t) = 6 years

Q: Log(3-2x)=-1

A: if log(x)=y x=10y

Q: Logx=log12-2log2+log3

A:

Q: Solve 6 - log, (3x - 2) = 4 for X %3D

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Q: between which two consecutive integers does log2 75 lie

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Q: Solve for 2: (You must show all of your work.) log, (4 – z)+ log,(x + 2) = log, (3 – 2x) -

A: We know loga(uv) = logau + logav logax=logay ⇒ x=y

Q: A certain ball is dropped from a height of x feet. It always bounces up to 2/3x feet.  Suppose the…

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Q: Solve log 3 =3x-1

A: To solve: The equation log 3=3x-1. Calculation: The equation log 3=3x-1 can be obtained as, log…

Q: log, 4 = log, ||

A:

Q: What value of x makes the equation log, (2x + 1) + log,(x - 3) = 2 true? %3D

A: we need to find the value of x that satisfies the given equation

Q: 2log5(x-3) - log5(8) = log5(2)

A: Simplify the given logarithmic equation as follows.

Q: solve for x : log6(x-6)+log6(x+6)=log6(5x)

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Q: Solve for x:  log381x - log3 32x = 3

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Q: Solve for x log (30x+20)- log(x)=2

A:

Q: Solve for x log4 (x+12)=3

A: We have to solve for x   We have log4x+12=3 logba=c  ⇒  bc=a

Q: solve 2 log3 2x = 2 + log2( x - 4)

A: 2 log3 2x = 2 + log2 (x-4)

Q: log,(- x² + 15x) = 2 %3D

A:

Q: log, (9x +30x + 25) = 8 %3D

A: Given,          log29x2+30x+25=8

Q: log, (1 – 4x) = log,(2x? + 3)

A:

Q: Solve for x log64 x = 2

A: Explanation of the answer is as follows

Q: log (4x-2)=2

A: Given, log (4x-2)=2

Q: Solve: loga (x - 7) +log, (x - 2) = loga(x - 4) + loga (X + 12)

A: We have to solve.

Q: Solve for x: 4 log3 x = 7

A:

Q: Solve for x. log2(x) = 6   x=

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Q: Solve for x. -8+ log, (x+4)=-6

A: Given -8+log5(x+4)=-6 Or, log5(x+4)=8-6=2 Or, (x+4)=52  [since loga(x)=m, then x=am] Or, x+4=25 Or,…

Q: Solve for x. log4 (– 2x+4)=2

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Q: Log5x = -3

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Q: Value of log2 32+ log₂ 16, will be.

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Q: log(x) - log(7z) log

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Q: Solve for x: 3+log2(5x-1)=11

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Q: log, n - Glog, m – log, n) as a single logarithm. 4 1. Express- log, m + logx n) as a single…

A: We have to convert the following into a simple logarithm form -  34logxm + 23logxn - 12logxm -…