5. Solve for x using log properties: log3 (x) + log3(2x – 3) = 2 |

Q: Solve for x using sci notation x=log(y^5) ; if (log y) = 1.2 x 10^-4

A: We have to find value of x by using scientific notation.

Q: Find a number E such that log (5z + 1) = 2

A: The solution is given below.

Q: Find the value of x satisfying log,, (2×+x– 41)=x (1 – log1,5).

A: It is given that, log10(2x+x-41)=x(1-log105)   Here logarithmic properties are going to be useful to…

Q: (b) For what value of x is log₂ (x+1)-log₂ (x-1)=3?

A:

Q: -3 7) log4 x = 2

A:

Q: 5. Solve for x without using a calculator: log. (x) + log,(x – 16) = 2

A: The answer is found in step-2

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

A:

Q: logx +log(x+3)=1 ? what is x?

A:

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

A:

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

A:

Q: Solve for r: log(z) + log(z + 4) = 5

A:

Q: b- find x for following 1. logx = V2 2.ln(x + 1) = 5

A:

Q: 4. The domain of the logarithmic function f(x) = log, x is

A: fx=logax

Q: 10) Solve for x. log5 x - log (x - 2) = log 2 |

A:

Q: Solve for the value of x in log 2 (2x+12) = 5. %3D

A: If  logxy = z then,y = xz

Q: 7. Solve for x: 48 = 6e4x b. log (x?) + 3log (x) log (32) а.

A: Given : a) 48=6e4x   b) log(x2) +3logx=log32

Q: Find the largest value of x that satisfies: log, (22) – log2(x +1) = 2

A:

Q: 5. (a) Solve for x, if log1o(10x + 20)- log10(2x-6) = 1 (b) Given that log10 7 = 1.473, find without…

A:

Q: (b) Solve log (4x) —log 3 = log(x+4) for x.

A:

Q: (b) 8[log(2-j3)]e

A:

Q: 17. Find the value of x without the use of calculator 1 log, 3. 4

A: Given:

Q: Solve for x: a) 52x+1 = 8 b) −4(log2 x)=12

A: Given :         52x+1=8-4log2x=12

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

A:

Q: Solve for x, log 7 (x − 4) + log 7 (x + 2) =1 and state restrictions

A:

Q: 10. Express as a single logarithm. 6 log x + log 10 - log(x + 2)

A:

Q: 38. f(x) = log1 x 50

A: The given function fx=log15x. Substitute x=1,2,5 in fx=log15x:…

Q: 2. What is the extraneous root of 2 log3(x + 4) - log3(-x) = 2?

A:

Q: solve for x  log(x+4) - log(x+1)=1 You may enter the exact value or round to 4 decimal places.

A:

Q: 9. Express equivalent expression: log(x – 3) – log() + log 4 as an x+3

A:

Q: 7)Solve for x when log 10x - 2 = log 400 a) 40 b) 400 c) 4000 d) 40000

A: given  log1010x-2=log10400 log1010x=log10400+2log1010x=log10400+log10102…

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: Explanation of the answer is as follows

Q: Solve the logarithmic equation for x. 2 log x = log 2 + log(3x - 4)

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

Q: (b) Find the value of x: log ; x - log ; Vx = log 9- log ; 3

A: Basic concepts: remember these properties:

Q: The number of positive integers satisfying x + log10 (2* + 1) x log105 + logi06 is ..

A: Introduction :

Q: Solve the following equation for x. log2(12x + 10) = 3 + log2(x + 2)

A: To solve the given equation for x.

Q: 2. Solve for x, to one decimal place. (b) 7* = 35 %3D (a) log, 56 = x

A:

Q: Solve for x in log4 (x+1) + log4 (x-1) = log4 15

A:

Q: Solve for æ: log(x) + log(r + 1) = ||

A: We have to find the value of x from given equation.

Q: b) Find the value of x that satisfies log(x+3)− log x = log x+log 2.

A: Follow the procedure given below.

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: Solve for x in terms of k. log4x−log4(x+6)=log4k A) x= B)Find x if k=1/8

A:

Q: Express th equation in exponential form.

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

Q: 2. Solve for x: log, (x² + 8x- 20)–log, (x-2) =2 Ans 2 x=.

A:

Q: Solve for x given: log2(x + 7) − log2(2x) = 3

A: The given logarithmic function is log2(x+7)-log2(2x)=3

Q: 4 If log3 (x + 1) – log3x = 2, then x equals: F - - 8. 6. G H 8. | 15

A:

Q: graph 3 points for G(x)=log3(x-4)+1 and show work

A: We have to find

Q: 1 The solution of the equation Log(-z + 2) = i2n is 4

A: (c) 1+i,1-i,-1-i,-1+i is correct. We have to solve the given equation, that is, Log14z4+2=i2π…

Q: 4. Solve for x , show all work and round off to three decimal places if necessary. a) log 83 = x b)…

A: b) The given equation is log3y=1.69 Use the base theorem, logab=ln bln a. 1.69=ln yln 3ln y=1.69· ln…