In[x(x-1)In(56

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

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

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

A: Given equation: 22x-3=5x-2 Taking common logarithms both side log22x-3=log5x-2

Q: Solve, if possible, the following problem min 3 log (exp(a? + a)) – az a? < 1764 i=1

A: Simplify the expression:

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: Find the largest value of x that satisfies: loge (2) – log,(r + 1) = 6

A: Use the properties of logarithmic function, to rewrite the given equation.…

Q: Find the principal values of the given following: log(-4-9j)

A:

Q: Consider the following. e0.6x = 8 %3D (a) Find the exact solution of the exponential equation in…

A: Apply ' ln ' on both sides

Q: Consider the following. e0.8x = 5 (a) Find the exact solution of the exponential equation in terms…

A:

Q: What value of x will make the following equation true? log (2x+6) =1 -5 O x = 2. O x= 8

A:

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: Solve the following logarithmic equations and inequalities: a. log (x + 1) – log, (x – 1) = 2 | b.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: (6) Solve the following logarithmic equation: log (50 x + 25)- log (x) = 2

A:

Q: Solve the following equation for x. log2 (9x+6)=2+log2(x+3)

A:

Q: Solve the following logarithmic equation. Give the exact value for full credit. log8(x+5) -…

A:

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

A: Given logarithmic expression is ln3x2-9x+ln13x. To express the given logarithmic expression in terms…

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

A:

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

A: Simplify logarithmic equation

Q: Solve the following equation: 2 log x = log(6x + 27) O x= 3 O None of these O x= 9 X = -9

A: We will solve the equation and will find the value of x as following .

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In x – In(x2 + 3x + 2)²|

A: The exponent 5 becomes the coefficient

Q: 2x-1 = 3x

A:

Q: If y = loge (2x + 1)'/2 ? and x = 1 y'will be equal to Select one: O a. 1.3

A: The given function is y=loge 2x+112. Obtain the derivative as follows. dydx=ddxloge 2x+112=ddx12loge…

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

A:

Q: D. Solve for the following logarithmic equations 1. Inx = -3 2. 2logx = log 2 + log(3r 4) 3. logs(x…

A: As per our guidelines we are supposed to answer only first three sub parts of the question. Kindly…

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 equation for X log(x+2) + log(x-1)= 1

A:

Q: Solve the following exponential and logarithmic equations. When appropriate, write the answer as…

A: 1.Consider 10^6x = 3^(3x+4)

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

A:

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

A: x=?

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

A:

Q: Express the following sum and/or difference of logarithms as a single logarithm. 2 loga y+logs -…

A:

Q: 2. 2 log x – 1 = log(x-1)

A:

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

A:

Q: Solve the following equation using the natural logarithm. Round answer to the nearest thousandth.…

A: Given that       2ln(3)+ln(x+6) = ln(90)

Q: using

A:

Q: Solve the following logarithmic equations. a. 〖log〗_3 (x-4)+〖log〗_3 7=2 b. log(3x-13)=2+log⁡x

A: The explanation of answer as follows

Q: In the equation f (x) = e* In(5x) – e**+2 + log(e2x^), find f'(3).

A:

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

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

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 0.75

A: To express ln0.75 in terms of ln2 and ln3

Q: Given that log x=2.5 and log y = 4 , find the value of log (yx)

A:

Q: Solve the following exponential and logarithmic equations: a) log3 (5x - 4)=4 b) log(x-5) +…

A: Part (a) Given:

Q: In the equationf (x) = e* In(11x) – e**+* + log(e6x*), find f '(3). %| -

A:

Q: 4. Solve the following natural logarithm for x: In (e?) = x A. 2 В.х C. e* D. In x O A O B

A: We have to find

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√9

A: To express:  ln 3√9 in terms of  ln 2 and ln 3.

Q: 1. Solve the following equation for r: log, (15x + 12) – log,( - 2) = 2

A: Given equation  log6(15x+12)-log6(x-2)=2 To find the value of x

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: 4. Find the value of x in each of the following logarithmic equations. a) log5 x = 3 b) log, 169 = 2

A: Formula used

Q: Solve the following equations: (a) log x 2 = log(x + 4) (b) 4 3x−1 = 72x+3

A: (a) We have to solve logx2=logx+4 Use logarithmic property logm=logn⇒m=n Hence,…