Solve the following logarithmic equation. log (x?+x) – log 1/4 (x² -x) : -x) = - 1 1/4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is { }. (Simplify your answer. Type an exact answer. Use a comma to separate answers as needed. B. There is no solution.

Q: Solve the following logarithmic equation. 2 In (x-7)= In (x+33) + In 2

A:

Q: Find the exact solution, using common logarithms, and a two-decimal-place approximation of each…

A: Given:3x+4=21-3x

Q: Express the given quantity as a single logarithm.  ln ( a+b)  +  ln (a- b) - 2 ln c

A:

Q: Express the following logarithms in terms of ln 2 and ln 3.c. ln (1/2)           d. ln( 9)^1/3

A: Given: c  ln12  d ln913 Formula Used: 1 lnmn=lnm-lnn2 lnxn=nlnx

Q: Express the following logarithms in terms of ln 2 and ln 3.a. ln 0.75                 b. ln (4/9)

A: (a) ln 0.75 = ln (3/4) = ln 3 - ln 4 = ln 3 - ln 22 = ln 3 - 2 ln 2 Hence the answer.

Q: Solve the given logarithmic equation.

A:

Q: b. 4e- - 24 = 0

A:

Q: solve the following logarthemic equation. log4(x+74) + log4(x+11)=3

A: Given,         log4x+74+log4x+11=3

Q: Solve the following log equation exactly loga(x)=loga(x2-30)

A: This question is based on properties of Logarithm.

Q: (1) log r'y (3) log VV

A:

Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log„1121 b.…

A:

Q: Solve the following equation analytically. (Enter your answers as a comma-separated list.) log 10-4…

A: find the value x

Q: log, 49 = 2/3

A: As per given by the question,  The given logarithmic function is, Logx49=23 Now, Finding the value…

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 0.056

A: We have to find ln(0.056) in terms of ln(5) and ln(7) Before that, write 0.056 in fraction

Q: Find the exact solution, using common logarithms, and a tw-decimal place approximation of each…

A:

Q: Solve for all possible values of x within the domain of the following logarithmic expressions. | a)…

A: Topic:- algebra

Q: Solve the following equation for x. log, 81 = 4 O 20.25 9 324 0 3

A:

Q: Solve the following equations for xx using the natural logarithm:  11⋅4^x=2e^−3x

A:

Q: . Express the following logarithms in terms of ln 2 and ln 3.e. ln 3sqrt(2)             f. ln…

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Solve the following logarithmic equation:  log x + log(x − 1) = log(4x)

A: Simplify logarithmic equation

Q: 2x-1 = 3x

A:

Q: |Solve the following equation. If necessary, enter your answer as an expression involving natural…

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln √13.5

A: Express ln13.5 in terms of ln2 and ln3.

Q: Condense the into a following (b) Single logarithm. 2 In (x+1) +3 InCy)-Ź Incx)

A: Condensing the expression to a single logarithmic value

Q: Solve the following logarithmic equation. Give the exact value for full credit. log (x+1) + log (2)…

A:

Q: In(x + 25) – In(x – 1) = 3 e2x – 2e* = 15 e2x – ex – 12 = 0 e* – 12 = 0 |

A:

Q: Solve the following logarithmic equations. a) log2 (x) + log2(x +2) = log2(x + 12). In(x) + In(x -…

A: By Using logarithmic formula

Q: Solve the following logarithmic equation. log(r - 10) = log(20) %3D log, (10)

A:

Q: Solve the following logarithm problem for the positive solution for x. 1 log, = -2 %3D 49

A: x=?

Q: Write the following logarithmic equation in index form and hence solve for x logx(4x-4)=2

A:

Q: Solve the following logarithmic equation. log x+ log (x +9) = 1

A: Introduction: Scientists immediately adopted logarithms because of a spread of advantageous…

Q: Find the domain and solve the following logarithmic equations: log x+2 log x=8

A: since the given equation consist of log function , so the domain of the function will be all…

Q: 2. 2 log x – 1 = log(x-1)

A:

Q: Q13: Use log function to solve the equation for t in terms of A and B: A = B e t/2

A: Solution:-  The given function is A=Be-t2      ................(eq01) taking log both of sides

Q: Solve the following logarithmic equation. log(2x - 2)= log(x + 1) + log(4)

A: Given: log2x-2=logx+1+log4 Now by using the logarithmic property, loga+logb=loga·b…

Q: Solve the following logarithmic equation. log 3(x+ 10) + log 3 (x+ 18)= 2

A:

Q: Solve the following log equation exactly. If there are two answers, type in the smallest answer…

A:

Q: Express the following in the form :+ ib. (a) log(e³-i) (b) (1 – i)3+i

A:

Q: solve the following equation. log2(5Vx – 5) + log2(Vx – 1) = 3

A: Given that:   log2(5x-5)+log2(x-1)=3

Q: D. log, x2 + log, x = 4 (use change of base) E. log3 5" F. ele=) = 15 12 %3D

A:

Q: Solve the following logarithmic equation: log, (z+4) + log,(z-2) 2 Round to the nearest hundredths,…

A: Handwritten solution is provided below log4x+4+log4x-2=2

Q: log, x + log2(x + 3) = 2.

A:

Q: Solve the following logarithmic equation:  log2(x − 2) + log2(x + 1) = 2

A: Given,

Q: Solve the logarithmic equation: log, (x + 1) + log, (x – 1) = 2. Round to the nearest tenth if…

A: Given logarithmic equation is log5x+1+log5x-1=2

Q: Express the following logarithms in terms of ln 5 and ln 7. ln (1 / 125)

A: Express the following logarithms in terms of ln 5 and ln 7. ln (1 / 125)

Q: Solve the following equations log(x + 6) – log(x – 3) = 1 10* = 12

A: logx+6-logx-3=1

Q: Express the following logarithms in terms of ln 2 and ln 3. ln (4 / 9)

A: Given logarithm ln49 The objective is to expression the logarithm in term of  ln (2) and ln(3)

Q: Solve the following log equation exactly. If there are two answers, type in the smallest answer…

A: We can cancel the loga from both sides  So we get: