Question

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

What are the approximate solutions of the equation? Check all that apply.
0 X -0.93
0 x = 0
x 20.87
0 x 1.06

Answer 1

1.06

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

Explanation: