The graph of the function f(x)=log7(x) is stretched vertically by a factor of 4, shifted to the left by 5 units, and shifted down by 3 units.  Find the equation of the function

Q: Find the x intercept of the graph of y = 2 log( √(x - 1) - 2)

A: To determine the x- intercept of the graph of the function.

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: Solve for 'x' in the following equation: 4.7 = -log(1.76 x 10-5) + log(x / 0.16)

A: 4.7=-log(1.76×10-5)+logx0.164.7+log(1.76×10-5)=logx0.164.7+log(1.76)+log(10-5)=logx0.164.7+0.5653-5(…

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

A: Consider the given logarithmic equation, log3x+log32x-3=2 use the logarithmic property,…

Q: Consider the function f (x) = log10 x.   When f (x) is increased by one unit, x must have been…

A: For the function f (x) = log10 x..............................................(1)   When f (x) is…

Q: The graph of the function f(x)=log10(x) is stretched vertically by a factor of 7, shifted to the…

A: The function f(x)=log10(x) is stretched vertically by a factor of 7. So it becomes 7log10(x). Then…

Q: log10(2x- 4) = 1+ log10 4, then 'x' is equal to ...............

A: We have to find x

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:

A: By definition, The logarithmic function y=logax is defined to be equivalent to the exponential…

Q: log(2² – 2y² – 4x²) In(2 – |2|) - g(x, y, z) = -

A:

Q: Solve the equation for x: log20 x + log20 (x – 1) = 1. -

A:

Q: If log(x + 8) + log(x – 8) = 1 then The value of æ is

A: This is a basic log question that can be solved with logarithmic property. The product rule of…

Q: The derivative of an exponential function isn't always another exponential function.

A: Derivative of an exponential function is given by :ddxef(x,y,z) = ef(x, y , z). ddxf(x, y , z)

Q: Suppose f(x)=3•27x , find a constant b such that the graph of log b f has slope 1. b=?

A: Given

Q: The graph of the function f(x)=log6(x) is stretched vertically by a factor of 7, reflected over the…

A: our objective is to find the function.

Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

A:

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: Gven Data The function of the percentage of adult height attained by a girl is f(x)=62+35 log (x-4).…

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

A:

Q: At the time of the birth of a child, a parent wants to begin a college fund that will grow to $43000…

A: Given that the interest is compounded continuously

Q: If log3(3x +5) – log3(9x) = 2 then enter your answer for x as a fraction in its lowest form

A:

Q: 3 log25 x = 2

A: It is logarithms problem.

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: Given: The percentage of adult height attained by a girl who is x years old can be modeled by…

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

A:

Q: Find the domain of the function f(x) = log3(x + 6).

A: Given: fx=log3x+6 we know that in logax, domain is x>0, a>0-1

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: The percentage of adult height attained by a girl who is x years old can be modeled by…

Q: Differentiate the function with respect to x f(x) = 2* · log37*²-4

A: If hx and gx are two differentiable function and fx=hxgx Then f'x=gx×ddxhx+hx×ddxgx

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

A: If  logxy = z then,y = xz

Q: Given the function y = log3 (x – 2) + 1, what is the equation of the asymptote?

A: Equation of the asymptote of the given function y=log3x-2+1

Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x10°.…

A: Given,          The function is fx=x10x.

Q: Sketch on graph a) y = 2x-3+ 3  b) y = log2 (x – 4)

A: a)

Q: Solve the following equation for x: log3(ln(x)) = 2.

A:

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

A: A logarithm function of the form logax has the property that loga1=0. This is because a0=1. For this…

Q: How long (in years) will it take a $200 investment to be worth $900 if it is continuously compounded…

A: We need to find time when $200 will be worth $900.

Q: Find the equation for an exponential function that passes through the pair of points given below.…

A: Consider the general equation for exponential function. fx=aoekxFor 2,32, 32=aoe2kFor 4,512,…

Q: 2log x-1=log(x-1)

A: Given:  2logx -1=log(x-1)we know that alogb =logba   then 2logx=logx2Then    logx2-1=log(x-1)…

Q: Find the domain of the function. f(x) = 3 - 2 log4 (x/2 - 5)

A: Given function is: f(x) = 3 - 2 log4 (x/2 - 5) We have to find the domain of this function.

Q: Find all x- and y-intercepts of graph of y = -3 +log2(x2 - x +2).

A: Given function is y=-3+log2x2-x+2

Q: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

A: The percentage of adult height attained by a boy who is x years old can be modeled by f(x) = 29 +…

Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x8*.…

A: To find the exact x- coordinate.

Q: differentiate the function f(x)=(x+ log3x)2

A: →Use chain rule of differentiation.→dxndx = n xn-1.→dlogaxdx = 1x logea                        = 1x…

Q: How does the second to last step come about? How does "log(5^x/2) + log(5^1/2)" turn into "log (sq.…

A: Note: From seeing the previous explanation we observe that there is a typing error in the second…

Q: Solve the following equation for x:  log(x+1) + log(x+3) = log (x+7)

A:

Q: How long it will take $5,000 to be double, when invested at an annual interest rate of 4% if the…

A: Given query is to find the time taken toake an invy double when interest rate is 4% and compounding…

Q: function

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: Find the equations of the tangent and normal lines to the graph of the natural logarithm function at…

A: Slope of the tangent line is the derivative of the given function at the given point. Now…

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

A: We have to find

Q: The relation between the number of time in days, D, it takes for a planet to revolve around the Sun…

A: