Question

find the value of x in each of the following ​

Answer 1

Answer:

$b)$ $2$  ;  $c)$ $3$

Step-by-step explanation:

$b)$ $6^{x} = \frac{2 * 3^{4}*2^{5}}{9*4^{2} }$

⇒$6^{x} = \frac{3^{4}*2^{5+1}}{3^{2}*2^{4}}$

⇒$6^{x} = 3^{4-2} *2^{6-4}$

⇒$6^{x} = 3^{2}*2^{2}$

⇒$6^{x} = (3*2)^{2}$

⇒$6^{x} = 6^{2}$

⇒$x=2$

$c)$ $5^{2x} *5^{3} = 5^{9}$

⇒$5^{2x} = \frac{5^{9} }{5^{3} }$

⇒$5^{2x} = 5^{9-3}$

⇒$2x = 6$

⇒$x = 3$