If $$ x^{3}=27 $$, then $$ x=3 $$ False True

Question

UpStudy AI · Accepted Answer

To determine if the statement $$ x^{3} = 27 $$ implies $$ x = 3 $$, we can solve the equation.

Starting with the equation:

$$
x^{3} = 27
$$

We can take the cube root of both sides:

$$
x = \sqrt[3]{27}
$$

Since $$ 27 = 3^3 $$, we have:

$$
x = \sqrt[3]{3^3} = 3
$$

Thus, the statement $$ x^{3} = 27 $$ does indeed imply that $$ x = 3 $$.

Therefore, the statement "If $$ x^{3} = 27 $$, then $$ x = 3 $$" is **True**.
The statement "If $$ x^{3} = 27 $$, then $$ x = 3 $$" is True.

If , then
False True