Plot the given function on the rectangular coordinate system.
f(x) = (7/8)^x

Solve for x in the given equation.

(1/e)^-3x = (1/e³)^2x+5

Graph f(x) = 5^x to start. After that, graph the provided function using transformations of this graph. Graph the asymptotes and provide equations. Find the function's domain and range using the graphs.
g(x) = 5^{x +3}

Draw the graph of the following function. $ƒ(x)=6^{x}$

Use a calculator to approximate the value of the following number to four decimal places.

e^{- 1.9}

For the given functions,

f(x) = log_ex
g(x) = - ln(5x)

(i) Graph in the same cartesian plane
(ii) Identify all asymptotes
(iii) Identify Domain and Range

a) (i) Graph:

(ii) Asymptotes f(x): x = 0, g(x): x = 0,
(iii) Domain f(x): x > 0; g(x): x > 0; Range f(x): all real values; g(x): all real values

b) (i) Graph:

(ii) Asymptotes f(x): x = 0, g(x): x = 0,
(iii) Domain f(x): x < 0; g(x): x < 0; Range f(x): f(x) > 0; g(x): g(x) > 0

c) (i) Graph:

(ii) Asymptotes f(x): x = 0, g(x): x = 1,
(iii) Domain f(x): x > 0; g(x): x > 1; Range f(x): all real values; g(x): all real values

d) (i) Graph:

(ii) Asymptotes f(x): x = 1, g(x): x = 0,
(iii) Domain f(x): x > 1; g(x): x > 0; Range f(x): all real values; g(x): all real values

Which of the following is the logarithmic form of b⁴ = 1296?