(a) f(t) = In(5t - 4) 12 (b) g(x) = log(x² - 25)

Q: Let f(x) = Log5 (x), determine f(x). f¹(x):

A:

Q: Please

A: We write f(x) using ln(x) because we know derivative of ln(x) We use the change of base formula of…

Q: 25łn²(x) log (x) dx

A:

Q: Solve for x (here log = log10): A B x = 10 x = 50 C x = 100 D x = 500 log(x) log(5) = 2

A: The given logarithmic equation logx-log5=2. We have to solve the value of x.

Q: Q3. (a) Draw the graph of y < 2*-2 (b) Solve log5x = 1+ log5(x – 4) %3D |

A: use logarithmic function properties

Q: If log3 (x + 2) = 2, the value of 'x' is..... %3D

A: If logam=n then m=an

Q: Pls help ASAP

A:

Q: Sketch the graph of f

A: Given: to obtain the graph of f(x)=log1a(x)

Q: h(x) = log3(x − 3) + 2 what is the x-intercept

A:

Q: What is g′(x) when g(x)=log 2 (6x3 +3)?

A: The given gunction is,

Q: T(X) = 4 +

A: We have to find

Q: Sketch the graph of f

A: Given: f(x)=logx+100

Q: 4. Solve for x log (35-x³) log (5-x) = 3

A: Given log35-x3log5-x = 3

Q: f(x) − log2(1 - 3x)

A:

Q: let f(x) = logb(9x^7-8). For what value of b is f′(1) = 9?

A:

Q: 7. Solve for x using log properties: log(5x) – log(x² - 2) = 1 |

A:

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

A:

Q: What is h′(x) when h(x)=log 7 (8x+4 / x 6 7 x)?

A: Consider the function

Q: A3. (a) (i) Express 2ln x – ln √x as a single log in its simplest form.[

A:

Q: Sketch the graph of f.

A: We have the given equation as fx=log2x+4 As we know that, the graph of y=logax; a&gt;0 is drawn as

Q: Solve the following for x:

A: 1)To solve the equation ((1/5)x+1=125x), we can rewrite (125) as (53) since (125=53). Then the…