QuestionA. Given the equation: $$3 \sqrt[4]{m}(5 \sqrt{m})=15 \sqrt[x]{m^{3}}$$
Find the value of $x$.

Studdy Solution
Now equate the simplified expressions from both sides of the equation:
$$15 \cdot m^{3/4} = 15 \cdot m^{3/x}$$
Since the coefficients (15) are the same, equate the exponents:
$$\frac{3}{4} = \frac{3}{x}$$
Solve for $x$ by cross-multiplying:
$$3x = 12$$
Divide both sides by 3:
$$x = 4$$
The value of $x$ is:
$$\boxed{4}$$