Question

(2/3) ^ 3 * (2/3) ^ 5 = (2/3) ^ (x - 2)​

Answer 1

Step-by-step explanation:

$\displaystyle{ \pmb{ \implies} \: \bigg(\frac{2}{3} \bigg) {}^{3} \times \bigg( \frac{2}{3} \bigg) {}^{5} = \bigg( \frac{2}{3} \bigg) {}^{x - 2} }$

• As the bases are same so we can equate with the powers as follows :

$\displaystyle{ \pmb{ \implies}}3 + 5 = x - 2$

$\displaystyle{ \pmb{ \implies \: }}8 = x - 2$

$\displaystyle{ \pmb{ \implies \: }}8 + 2 = x$

$\displaystyle{ \pmb{ \implies \: }}10 = x$

Hence, value of x is 10.