Question

See the attachments below!!!

Answer 1

1) x=0.465

2) option A.

Explanation:

1) The given equation is:

`{3}^(x + 2) = 15`We rewrite this as logarithm to get:

`x + 2 = log_(3)(15)`

The change of base formula is:

`log_(b)(y) = ( log(y) )/( log(b) )`

We apply the change of base formula on the RHS to get:

`x + 2 = ( log(15) )/( log(3) )`

`x + 2 = (1.176)/(0.477)`

`x + 2 = 2.465`

Group similar terms:

`x = 2.465 - 2.000 = 0.465`

2)

From the graph, the logarithmic function approaches negative infinity as x approaches -6.

Therefore the vertical asymptote is x=-6

The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.

The correct answer is A.