Question

(5^x-3)×(3^2x-8)=225
value of x?​

Answer 1

Answer:

To find the value of "x" first we need to arrange the given question step-by-step which is given as follows:-

Step-by-step explanation:

=> 5^x/5^3 * 3^2x/3^8 = 3^2 * 5^2 [°.°LCM of 225=3^2 * 5^2]

=> (5^x * 3^2x)/(5^3 * 3^8) = 3^2 *5^2

=> 15^3x/15^11 = 15^4

=> 15^3x = 15^4 * 15^11

=> 15^3x = 15^15

=> 3x = 15

=> x = 15/3

=> x = 5. [Answer]