15. If the points (2, 3), (-1, 0), and (-4, -1) are on the function f(x) = a*, what points would be found on the function g(x) = loga x?

Q: (b) If 2log 5+log 4 = 2, find a.

A: The given equation is: 2loga5+loga4=2   As we know the logarithmic properties; 1). logaxb=a·logab…

Q: For any real number b > 1, and any real numbers x True False log, (x - y) = > 0 and y> 0, it must be…

A:

Q: functions f and g? f(x)=2x

A:

Q: Q3) A set of data is shown to have a linear relationship if transformed into the function…

A: It is given that. after transforming of data (X and Y), we get a linear relationship between x and y…

Q: Determine if The following pairs of functions are of the same order. Justify your (a) /(0) = log1o…

A: If a pair of functions fx and gx are of same order, then limx→∞fg=N where N≠0 is a constant.

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

A: The answer is found in step-2

Q: Find the derivative of f(x) = x"'log,(r + 3). f()=

A: The given function is: f(x)=x8log2(x+3)       =x8ln (x+3)ln 2(used change of base in logerithm)…

Q: Suppose f(x) = logax and f(4) = 2. Find f(16)

A:

Q: A set of data is shown to have a linear relationship if transformed into the function log(y)=2+5x.…

A: Given problem Given that   A set of data is shown to have a linear relationship if transformed…

Q: m(x)=log,(x+2) - 5 after it has been horizontally shifted right 7 units and vertically down 1 unit?…

A:

Q: 8) Determine the equation of an exponential function of the form y = a. b* that contains the points…

A: To find the equation of exponential function.

Q: A linear relationship between the logarithms of the variable x and y which are connected by the…

A: We Know that Logarithmic Rule, log(ab) =log(a) +log(b) log(an) =nlog(a) By using above rule we find…

Q: Suppose the functions f, g, h, r and I are defined as follows: f (x) = log+log x 3 g(x) √(x+3)² h(x)…

A:

Q: What is the value of b so that (x) = log,(x) passes through the point (64, 3)? B -8 D {-4,4}

A:

Q: 9. Solve. log,(x- 3)+ log,(x+ 4) = 3

A: The objective is to solve.

Q: 4. Determine if each of the following functions is exponential or not. If so, write the function in…

A: (a)not exponential

Q: 6. List 3 similarities and 3 differences of the two functions below: y=5* and y=log;x

A: Given functions are  y=5x     1y=log5x   2 Similarities between functions (1) and (2):-  i. Two…

Q: Log(1 – iV3)² = a. 2Log(1 – iv3) b. Log(1+ iV3) c. 2Log(1 + iV3) с. d. None of these

A: Given: Log1-i32

Q: log2 (* V32)*

A:

Q: 9. In the graph shown, f(x) = x3 and g(x) = log (x + 3). For what value of x is x³ = log (x+3) when…

A: Consider the function,   Then,          So, by the intermediate value theorem, we can say that there…