Find the exact value of the expression. (a) 10log(25) (b) In(e) (c) log3(v27) (d) log2(80) - log2(10) (e) log8(4) (f) log15(25) + log15(9)

Q: 18. Find the domain and range of g(x) log2(x+3).

A: Domain of log is always greater than 0 .

Q: log4(x - 2) = 1

A: Given: log4x-2=1 To find the value of x

Q: Solve for x 3log 2 =log x

A: We have to find valu of x

Q: 2. Solve log, x + log2(x – 3) = 2

A: Given:  log2x+log2x-3=2We know that      logmA+logmB=logmA×BThen   log2x+log2x-3=2…

Q: 14. For the logarithmic function (x)=log, (x-4), explain why x=0 is not in its domain.

A:

Q: Solve for x in terms of k. log5 x + log, (x + 5) = k. X = Find x if k = 5. -(5-5sqrt(501))/(2)

A:

Q: 4 log 4(x + 4) -p- X+4

A: Given: ∫04log4x+4x+4dx

Q: Solve for x the equation log [ log (2 + log2(x + 1)) ] = 0

A: Given,

Q: log(x-20)-10g(8) = (og(x-l2)-109(x)

A: We will solve the equation.

Q: Solve the logarithmic equation for x. log3(x + 15) - log3(x - 1) = 2

A: log3x+15-log3x-1=2

Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

Q: 7) f(x) = 7 log5(x5 – 9x)

A:

Q: 3. Solve the equation for x a) 45-4x = 1 86-2x b) log2 (2x+4)= 4 c) enx = 11

A: in each part we need to solve the equation for x

Q: 16 Given log 4 1.262 and log, 7 1.771. what is the value of log3 () Enter your answer in the box. 16…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: solve for x: log3 (9)^-1= x+7 note:logarithm is to the base of 3

A:

Q: x2 + 8 log V Cx5 + 7)(x³ - 5)*

A:

Q: Find the domain of the function. f(x) = log -6

A:

Q: 3. Solve the equation for x a) 45-4x 1 = 86-2x b) log2 (2x+4)=4 c) enx=11

A:

Q: 49. log2 x > 3 - 3

A:

Q: 9. Simplify. State any restrictions on variables. log (x²-x-6) - log (2x-6) [K-3]

A:

Q: The Richter scale measures the magnitude of an earthquake by comparing the amplitude of the seismic…

A:

Q: 15) Solve for x: log4 x = 4

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If log3 (5) = 3y, log; m² = 6 and 2 log; (4) = 4x then what expression (in terms of x and y) is log3…

A:

Q: Given that p = loga 4 and q = loga 5. Express loga 100 + loga 0.4 in terms of p and q.

A: The given value of p and q are p=loga4  and  q=loga5.

Q: How are the functions ax and log ax defined? Are there any restrictions on a? How is the graph of…

A: Proving that both the functions are defined. Logarithmic functions are the inverse of exponential…

Q: Simplify the expression log(2x – 2) – log(x² – 1). State the restrictions on x. - -

A:

Q: Log 2 = 0.301, log 3 = 0.477,  log 5 = 0.699 and log 7 = 0.845 Using this information only, find:-…

A: According to the given information, The given log values are:

Q: 25. Solve for x if log 3x = -2. A. 1 9. B. -9 С. 1 D. -6

A:

Q: 2 log x + log2=log32 Solve for x

A: Given:   2 logx+log2=log32Log of a product:loga x+loga y=loga x.yLog of a power:loga xn=n logax

Q: (2) Combine the following into one single logarithm with a coefficient of 1 in front of the entire…

A: 6log4x-5-34logx+log9x-1

Q: قيمة x في log2s6 4 = x تساوي 1/2 O غير ذلك 4-

A:

Q: r(x) = 5 log4 (3x + 10)

A:

Q: 3. Solve forx: log x + log (2x/5) -6

A:

Q: a) If log:3 b) Solve for x if log,o(8x+1) – log10(2x + 1) = log1o(x+2) = a and log105 = b, write…

A: (a) Here given as log103=a, log105=b log1075=log103×52=log103+log1052=log103+2log105=a+2b (b)…

Q: 5. Find the domain of f(x) = log(x-4)

A: The given function,   f(x)=logx-4

Q: Q2: Solve the Logarithms Equation. sin log2(3 - X) - log2 1 + log2(x + 7) 5-x

A: To solve the logarithm equation: log23-x-log2sin3π45-x=12+log2x+7 Solution:   Property of logarithm…

Q: a. Graph Y1 = log |x| and Y, = -log r². How are the graphs related? b. Show algebraically that -log…

A:

Q: 3. Solve for x: log, (x+6)- log,(x-2) = 2 4. Solve for x: log, (x-5)+log,(x+1) = 4

A:

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

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

Q: log2(3x-1)=2 (answer should be in a fraction)

A: The given value is log2(3x-1)=2

Q: 7. Solve the equation. log2(x + 2) – log2(x + 4) = log2(x- 3)

A: To solve log2 (x + 2) - log2 (x + 4) = log2 (x - 3) We use the following property of logarithm…

Q: Solve for xx in terms of k. log3x+log3(x+6)=k x= Find x if k=7

A:

Q: Find the value of log(-2). o 0.3 + 1.364i O -0.3 - 1.364i O 0.3 - 1.364i O -0.3 + 1.364i

A:

Q: 7. logaM^r = __________. 8. If logax= loga6, then x = __________. 9. logaMN= __________. 10. True…

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Q: Find a formula for the exponential function f(x) = Ca² passing through the points (2,75) 3 (-1, ³).…

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

A:

Q: Q2: Solve the Logarithms Equation. sin log2(3 – X) – logz 1 + log2(x +7) 5-x

A:

Q: log 10x=4.2 solve for x

A:

Q: What are the steps involved in this problem? log (x-10) - log (x-6) = log 2

A: Given as

Q: log 10x=5 solve for x

A: