Question-160296

Question Number 160296 by mathlove last updated on 27/Nov/21

Commented by bobhans last updated on 27/Nov/21

{(3)}^{\frac{3}{x + 1}} = {(3)}^{\frac{2}{x}} \Leftrightarrow 3 x = 2 x + 2; x = 2

Answered by Rasheed.Sindhi last updated on 27/Nov/21

\sqrt[x + 1]{3^{3}} = \sqrt[x]{3^{2}}

3^{\frac{3}{x + 1}} = 3^{\frac{2}{x}}

\frac{3}{x + 1} = \frac{2}{x}

3 x = 2 x + 2

x = 2