Question

9 ^ x - 9 / 3 ^ x - 3​

Answer 1

Answer:

x=-39/14

Step-by-step explanation:

Answer 2

${\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}$

To Simplify:

• $\dfrac{9^{x-9}}{3^{x-3}}$

Solution:

$:\implies \dfrac{9^{x-9}}{3^{x-3}} \\\\:\implies \dfrac{3^{2(x-9)}}{3^{x-3}} \\\\:\implies 3^{(2x-18)-(x-3)} \\\\:\implies 3^{2x-18-x+3} \\\\\bf{:\implies 3^{x-15}}$

Formula used:

• $\dfrac{a^m}{a^n} = a^{m-n}$

Learn More:

$\begin{gathered}\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}\end{gathered}$

Hope it helps..