Question
Two numbers, a and b, are each greater than zero, and the square root of a is equal to the cube root of b. For what value of x is a2x-1 equal to b?
The correct answer is: 1.25
• To calculate the square root
To find the square root of the numbers, first find a number that, when multiplied twice by itself, yields the original number, and we must first determine which number was squared to obtain the original number. So, for example, if we need to find the square root of 4, we know that multiplying '2' by '2' yields 4. Hence, √4 = 2.
• To calculate the cube root
We must first find a number that, when multiplied three times by itself, yields the original number, and to find the cube root of a number, say 64, it is simple to see that the cube of 4 equals 64. As a result, the cube root of 64 is 4.
Related Questions to study
The expression 0.6y represents the result of decreasing the quantity y by p%. What is the value of p?
The expression 0.6y represents the result of decreasing the quantity y by p%. What is the value of p?
In the system of equations above, k is a constant. If the system has no solutions, what is the value of k?
In the system of equations above, k is a constant. If the system has no solutions, what is the value of k?
x2−4x−9=0
The solutions to the given equation can be written in the form 
, where m and k are integers. What is the value of m + k?
x2−4x−9=0
The solutions to the given equation can be written in the form , where m and k are integers. What is the value of m + k?
The populations, in thousands, of Alaska and Hawaii from 1960 to 2016 can be modeled by the functions A and H, where x is the number of years since January 1, 1960, and 0 ≤ x ≤ 55.
Alaska: A(x)=221+9.78x
Hawaii: H(x)=645+14.5x
Based on the model, in which year does the predicted population of Hawaii first exceed 900,000?
The populations, in thousands, of Alaska and Hawaii from 1960 to 2016 can be modeled by the functions A and H, where x is the number of years since January 1, 1960, and 0 ≤ x ≤ 55.
Alaska: A(x)=221+9.78x
Hawaii: H(x)=645+14.5x
Based on the model, in which year does the predicted population of Hawaii first exceed 900,000?
The populations, in thousands, of Alaska and Hawaii from 1960 to 2016 can be modeled by the functions A and H, where x is the number of years since January 1, 1960, and 0 ≤ x ≤ 55.
Alaska: A(x)=221+9.78x
Hawaii: H(x)=645+14.5x
Based on the model, what is the predicted population of Alaska, on January 1, 1960?
The populations, in thousands, of Alaska and Hawaii from 1960 to 2016 can be modeled by the functions A and H, where x is the number of years since January 1, 1960, and 0 ≤ x ≤ 55.
Alaska: A(x)=221+9.78x
Hawaii: H(x)=645+14.5x
Based on the model, what is the predicted population of Alaska, on January 1, 1960?
The interstate route from Los Angeles, California, to Jacksonville, Florida, cost about $5 billion to build and has a total distance of 2,500 miles. Each mile of the interstate route cost about $2 million to build. If the linear relationship between the distance x, in thousands of miles, and the cost y, in billions of dollars, is represented in the xy-plane, what is the y-intercept of the graph?
The interstate route from Los Angeles, California, to Jacksonville, Florida, cost about $5 billion to build and has a total distance of 2,500 miles. Each mile of the interstate route cost about $2 million to build. If the linear relationship between the distance x, in thousands of miles, and the cost y, in billions of dollars, is represented in the xy-plane, what is the y-intercept of the graph?
The total cost C, in dollars to tile a square floor is represented by the equation C = 16L2, where L is the length of one side of the floor, in feet. Which of the following represents the cost, in dollars per square foot, to tile the floor?
The total cost C, in dollars to tile a square floor is represented by the equation C = 16L2, where L is the length of one side of the floor, in feet. Which of the following represents the cost, in dollars per square foot, to tile the floor?
Sanjay works as a teacher’s assistant for $20 per hour and tutors privately for $25 per hour. Last week, he made at least $100 working x hours as a teacher’s assistant and y hours as a private tutor. Which of the following inequalities models this situation?
A system of equations is a collection or set of equations that are dealt with together. These equations can be graphed and algebraically solved. The intersection of two lines is the solution to the system of equations. This article goes into detail about the Algebraic Technique To Solve System Of Equations.
¶A linear equation is one that has one or more variables and produces a straight line when plotted. The system of linear equations is defined as two or more linear equations with two or more variables that are all considered at the same time.
Sanjay works as a teacher’s assistant for $20 per hour and tutors privately for $25 per hour. Last week, he made at least $100 working x hours as a teacher’s assistant and y hours as a private tutor. Which of the following inequalities models this situation?
A system of equations is a collection or set of equations that are dealt with together. These equations can be graphed and algebraically solved. The intersection of two lines is the solution to the system of equations. This article goes into detail about the Algebraic Technique To Solve System Of Equations.
¶A linear equation is one that has one or more variables and produces a straight line when plotted. The system of linear equations is defined as two or more linear equations with two or more variables that are all considered at the same time.
