9×10⁴ is 300 times greater than 3×10²
as, (9×10⁴)/(3×10²)=3× 10²
and the proper of writting powers in computer form is a×10^b
Value of x = 7.499
Step-by-step explanation:
We need to find value of x in the equation: 
This can be solved using natural log
Solving:

Subtract 7 from both sides:

Simplifying:


Using rule if f(x)=g(x) then, ln(f(x))=ln(g(x))
So,

Applying log rule: logₐ(x^b)= b logₐ(x)

Divide both sides by 2ln(2)
So, Value of x = 7.499
Keywords: Solving Equations
Learn more about Solving Equations at:
#learnwithBrainly
Hopes this helps:
Answer: a = 3
Have a great day.