Question

Consider the equation log5(x + 5) = x2.

Answer 1

Answer:

1.06

Step-by-step explanation:

This log is to the base 5.

Write             5                          5

and then raise the first 5 to the power log5(x + 5)

and the second 5 to the power x^2:

  log5(x + 5)               x^2

5                          =   5

Then we have          x + 5 = 5^(x^2)

We can approximate the solution by graphing x + 5  and 5^(x^2) as two separate functions and then reading off the approximate x-coordinate of the point of intersection.  The calculator indicates that this coordinate is approximately 1.06  (which matches the fourth answer choice).

Answer 2

Answer:on edge it's x=-0.93 andx=1.06

Step-by-step explanation: