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).
