Question

10. Find the value of x if
(125/27) × (125/27)^x = (5/3)^18​

Answer 1

Answer:

x=5

Step-by-step explanation:

(125/27)^1 ×(125/27)^x = (5/3)^18

(125/27)^(1+x) =(5/3)^18

{(5^3)/(3^3)}^(1+x) =(5/3)^18

((5/3)^3)^(1+x)= (5/3)^18

(5/3)^(3×(1+x)) = (5/3) ^18

here ..equalize the power values both sides because bottom values are same(5/3)...

ie...

3×(1+x)=18

1+x=18/3

1+x=6

x=6-1

x=5