(7) r = y (8) VI = y

Q: Calculate "y" in the following expression: log(y) = -3. y = i

A:

Q: What is the base of the following logarithmic function: h(x) = In(x) 2 T 10

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Q: use logarithmic difterient iation to Aind r V3x-1

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

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Q: Find dx by first using algebraic properties of the natural logarithm (x+7)(x + 8)³ (x + 2)°(x + 3)°…

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Q: Q5. (Log,3)= a); xin & Cost (1 ²)dt

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Q: Q2: Solve the Logarithms Equation. logtan nz (2 + 4 cos ?nx) = 2

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Q: Express the following sum and/or difference of logarithms logs y- 2 log, z log

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Q: Expand into several logarithms: x² y? In z5

A: We need to expand the given logarithms into several logarithms lnx2y3z5

Q: メリメニ+5 (xtw) 2. 713

A:

Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 8 In(c)

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Q: Express the following equation in logarithmic form. 10 2= = 0.01 %3D - 2 The exponential equation 10…

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Q: y = loga 4x 6.

A: Differentiate with respect to x.

Q: Find the function of the form y = loga(x) whose graph is given. У 3 4 -1(1/6, –1) 2.

A:

Q: how is  (a^loga(y))^c the same as y^c? (image)

A: Given that a statement  ac.loga(y)=alogayc=yc Prove the given statement.   The formula used are the…

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: Find the function of the form y = loga x whose graph is given.

A: Let the function of the form y=logax Given graph:

Q: If logy =c- log,x, where y> 0 andx > 0, then y is equal to A. c-X В. 3 D. C.

A: To solve the given logarithm

Q: I. Find the natural logarithm of the following when z equals: 1. –10 2. –3 – j4

A: The general form of a complex number is given by z=a+jb, where a and b are real numbers and j=-1.…

Q: Give the procedure to fit the following exponential curves, (i) y = a ebx

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Q: y = log (4x°)

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

Q: Differentiate the function Y = logi5(x° +1)

A: Differentiation of logax is defined as dlogaxdx=1xloga Chain rule of differentiation states that…

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: y = ln √4x² (Hint: Apply first a property of LOG.)

A: Let's find first derivative.

Q: (d) Solve the following equations for x. (Correct to 4 decimal places) (i) 2ex-1 = 4 (ii) log5 x –…

A: Brief answer is given below.

Q: Express the quantity as a single logarithm.

A: Given 13lnx+23+12lnx-lnx2+3x+22 The properties of logarithm used here are…

Q: Write the following in x + iy form : log(-(2)1/2 + i)

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Q: Which of the following graphs represents the function below? (log (x + 3), x4

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Q: Write the following expression as a logarithm of a single quantity. 6lnx – 10ln(x² +3) a. In(6x –…

A: Use log property

Q: 2 log , x + 12log, y

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Q: Find a so that the graph of y = logax passes through the point (e , 2).

A: Given,

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

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Q: Express the following logarithms in terms of ln 5 and ln 7. ln 9.8

A: The given expression is ln 9.8

Q: 2. 2 log x – 1 = log(x-1)

A:

Q: loga (M/N ) = _________ - ____________ .

A: We know Division property of logarithm is, when we divide two values with same base, we subtract the…

Q: E. Sketch the graph of the following logarithmic functions. 3. f (x ) = In(2r + 4)

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Q: Use the properties of logarithms to expand the quantity.  ln  x 2   / ( y 3  z 4 )

A: It is given that, lnx2y3z4 Use the properties of logarithms,we have to  expand the quantity.

Q: State the domain and the range for Y = log10(x)

A: We use the definition of loga(x), to find domain and range of Y=log10(x).

Q: Convert to a logarithmic equation: z =²

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Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 3 In(c)

A: Given  ln(a+b) + ln(a-b) - 3 ln c  = ln [ (a+b)(a-b) ] - 3 ln c   = ln ( [ (a+b)(a-b) ] / c ) ln a +…

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: log, x = 2

A: To solve the given log, convert the log form to exponential form  Lets apply the rule to convert…

Q: 12. Determine the y-intercept of the function y=log, (x+81).

A:

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

A: logx+6-logx-3=1