The problem above can be modelled as shown in the graph below
At

, the height of the water from the ground is

4⁶ / 4⁸
Since the 'bases' are the same on top and bottom, you can
just subtract the bottom exponent from the top one.
4⁶ / 4⁸
= 4⁶⁻⁸
= 4⁻²
= 1/4²
= 1/16
Answer:
Step-by-step explanation:
some rules of logarithmic function


vice-versa 
If ㏑(a) = ㏑(b), then a = b
∴ 
Use the 2nd rule to simplify it

2㏑(2x) - ㏑(10x) = ㏑(30)
Use the 3rd rule in the 1st term
∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)
∴ ㏑(4x²) - ㏑(10x) = ㏑(30)
- Use the 1st rule with the left hand side

Use the 4th rule

Multiply both sides by 5
∴ 2 x = 150
- Divide both sides by 2
∴ x = 75
The value of x = 75