Question

what will be the value of x? ​

Answer 1

$</p><p>\huge\boxed{\texttt{\fcolorbox{aqua}{grey}{Answer}}}$

${( \frac{3}{2}) }^{ - 3} \times {( \frac{3}{2}) }^{ 5} = {( \frac{3}{2}) }^{ 2x + 1} \\ \\ {( \frac{3}{2}) }^{ - 3 + 5} = {( \frac{3}{2}) }^{ 2x + 1} \\ \\ {( \frac{3}{2}) }^{ 2} = {( \frac{3}{2}) }^{ 2x + 1} \\ \\ 2x + 1 = 2 \\ \\ 2x = 1 \\ \\ x = \frac{1}{2}$

identify used in sum :

${m}^{a} \times {m}^{b} = {m}^{a + b}$

${m}^{a} = {m}^{b} \\ then \: \\ a = b$

$<b><marquee>$

▬▬▬▬▬ஜ۩۞۩ஜ▬▬▬▬▬▬

$\huge{\bf{\blue {\fbox{\underline{\color{orange}{HELP.....YOU}}}}}}$

▬▬▬▬▬ஜ۩۞۩ஜ▬▬▬▬▬▬