- #1
Gughanath
- 118
- 0
3 + 2 log (base 2) X = log (base 2) y
how can this show, that y = 8X squared? Please help!
how can this show, that y = 8X squared? Please help!
Click on the image to see the LATEX code behind it.Gughanath said:how did u write the numbers (powers) above the normal number btw?
The equation "3 + 2 log (base 2) X = log (base 2) y" is used to find the value of X when given the value of y. It is often used in logarithmic calculations and in solving exponential equations.
The expression log (base 2) refers to the logarithm function with a base of 2. This means that the value inside the parentheses is being raised to the power of 2.
To solve for X, you can use algebraic manipulation to isolate the variable on one side of the equation. First, subtract 3 from both sides to get "2 log (base 2) X = log (base 2) y - 3". Then, use the power property of logarithms to rewrite the equation as "log (base 2) X^2 = log (base 2) (y - 3)". Finally, take the antilog of both sides to get X = √(y - 3).
The equation "3 + 2 log (base 2) X = log (base 2) y" represents a one-to-one relationship between X and y. This means that for every value of y, there is only one corresponding value of X that will satisfy the equation.
Yes, this equation can be solved using a calculator. You can use the "log" or "ln" function on your calculator to find the logarithm of a number with a specific base. Some calculators also have a "log" button that automatically assumes the base to be 10, so you would need to use the change of base formula to get the correct answer.