Question

Logarithms and Applications?

Answer 1

See answer below

Explanation:

Given: `y = 10^x; " "y = 2^x; " "y = log x`

Both `y = 10^x " and "y = 2^x` have a horizontal asymptote at `y = 0`

The `y = log x` equation has a vertical asymptote at `x = 0`. This is because by definition, a log function requires `x > 0`.

graph of `y = 10^x`:
graph{10^x [-10, 10, -2, 5]}

graph of `y = 2^x`:
graph{2^x [-10, 10, -2, 5]}

graph of `y = log x`:
graph{log x [-2, 10, -10, 5]}