Question

Question 10

What is the solution to the equation?

9=x5
9
=
𝑥
5
(1 point)
x = ?

Answer 1

To solve the equation \( 9 = x^5 \), you need to isolate \( x \).

1. Raise both sides of the equation to the power of \( \frac{1}{5} \) to get rid of the exponent on \( x \):

\[
x = 9^{\frac{1}{5}}
\]

2. You can calculate \( 9^{\frac{1}{5}} \):

\[
9^{\frac{1}{5}} \approx 1.903
\]

So the solution to the equation \( 9 = x^5 \) is:

\[
x \approx 1.903
\]

Thus,

\[
x = 9^{1/5}
\] or approximately \( x \approx 1.903 \).