Question

Find the value of x for Which
5/3^-4*5/3^-5=5/3^3x​

Answer 1

Answer:

x = - 3

Step-by-step explanation:

$( {\frac{5}{3} )}^{ - 4} \times ( {\frac{5}{3} )}^{ - 5} = ( {\frac{5}{3} )}^{ 3x}$

$( {\frac{5}{3} )}^{ - 4 - 5} = ( {\frac{5}{3} )}^{ 3x}$

$( {\frac{5}{3} )}^{ - 9} = ( {\frac{5}{3} )}^{ 3x}$

Since the bases are same,

$- 9 = 3x$

$x = \frac{ - 9}{3}$

$x = - 3$