What is the value of log2 128?

The solution encompasses all real numbers. Detailed explanation: To solve a system of equations by elimination, from the given equation, you can derive y to obtain y = x - 6. Substituting this back leads to x - 5(y) = 6, eventually arriving at 6 = 6, thus indicating a solution of all real numbers.

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Answer:

final equation: 55,000 + 3,700n = 63,000 + 2,900n

Step-by-step explanation:

Blanca's current salary: 55,000

With an annual increase of $3,700, her salary after n years is 55,000 + 3,700n

Isabel's current salary: 63,000

With an annual increase of $2,900, her salary after n years is 63,000 + 2,900n

Setting the two salary equations equal gives:

55,000 + 3,700n = 63,000 + 2,900n

3x² - 7x - 8 = 0

Since we need to calculate square roots, we'll skip factoring and directly apply the quadratic formula,

x = ( 7 ± √(7² - 4(3)(-8))    )/(2(3)) = (7 ± √(49+96))/6 = 7/6 ± √145/6

145 = 5×29, indicating there are no square factors. The positive difference is

d =  (7/6 + √145/6) - (7/6 - √145/6) = 2√145/6 = √145/3

therefore, m=145, n=3 leading to a sum of

Answer: 148