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3^6 = 729

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Q: What is 3 x 3 x 3 x 3 x 3 x 3 in exponential form and then solve?
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How do polynomial time vs. exponential time algorithms compare?

An algorithm that completes in "polynomial time" is faster to solve than an algorithm that completes in "exponential time" in most of the important cases where it needs to be solved. An algorithm that completes in "polynomial time" the time to solve is always determinable by a polynomial equation (e.g. x^2, x^4+7*x^3+12*x^2+x+19, x^8392). An algorithm that completes in "exponential time" the time to solve can only be determined an exponential equation (e.g. 2^x, e^x, 10^x, 982301^x). Exponential equations give larger value answers than polynomial equations after a certain input value and then increase progressively faster. This makes "exponential time" algorithms take much longer than "polynomial time" algorithms to solve, often making many of them effectively unsolvable for certain cases. Many of the most important algorithms needed to solve real world problems are "exponential time" algorithms.


How can 2 x 7 x 3 x 2 x 5 x 3 x 2 be written in exponential form?

23 x 32 x 5 x 7


What is 3x3x3x2x2x2x2x7 in exponential form?

33 x 24 x 7


You can solve an equation of the form logb x equals a by using the definition of a logarithm to write an equivalent exponential equation?

logb x = a According to the definition of the logarithm, a is the number that you have to exponentiate b with to get x as a result. Therefore: ba = x


What is the expanded notation for 56805 in exponential form?

The expanded notation for 56,805 in exponential form is (5 x 104) + (6 x 103) + (8 x 102) + (0 x 101) + (5 x 100)