Solve the equation by finding the exact solution.
I don't know if I am putting this right
3 In e = check mark over 7 and x -3 In6
Thank you it is appreciated.
If you mean square root, use √ and some parentheses. Do you mean
3 ln e = √(7x) - 3 ln 6
??
If so, recall that
ln e = 1
3 ln 6 = ln 6^3
I still doubt that's what you want. It still looks bogus.
Steve it is In e = check mark over the 7 with the x under the 7 - 3 In 6
Does that sound better
To solve the given equation, we need to isolate the variable, x. Let's break down the steps to solve the equation step-by-step.
1. Start by distributing the square root over the terms on the right side of the equation:
√(7x) - √(3*6) = 0
2. Simplify the square root of 3 * 6:
√(7x) - √18 = 0
3. Simplify the square root of 18:
√(7x) - 3√2 = 0
4. Move the term with the square root (√(7x)) to the other side of the equation by adding 3√2 to both sides:
√(7x) = 3√2
5. Square both sides of the equation to eliminate the square root:
(√(7x))^2 = (3√2)^2
7x = 9*2
7x = 18
6. Divide both sides of the equation by 7 to solve for x:
7x/7 = 18/7
x = 18/7
Therefore, the exact solution to the given equation is x = 18/7.