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Homework Statement
2^x + 2^(4-x) > 17
2.The attempt at a solution
I factorized for 2^(-x) so I have 2^(-x) * (16 + 2^(2x)) > 17 but I don't know what to do after... could you help me ?
thanks
Let u = 2^{x} .scientifico said:Homework Statement
2^x + 2^(4-x) > 17
2.The attempt at a solution
I factorized for 2^(-x) so I have 2^(-x) * (16 + 2^(2x)) > 17 but I don't know what to do after... could you help me ?
thanks
What did you get when you solved for x ?scientifico said:Thanks I figured it out and solved correctly.
(u^2 - 17u +16)/u > 0
An exponential equation is an equation in which the variable appears in the exponent. It is written in the form y = ab^x, where a and b are constants and x is the variable. These equations are commonly used to model situations where a quantity grows or decays at a constant rate.
To solve an exponential equation, you can use logarithms. If the equation is in the form y = ab^x, you can take the logarithm of both sides to get log(y) = log(ab^x). Then, you can use the properties of logarithms to simplify the equation and solve for the variable.
An exponential equation has a variable in the exponent, while a linear equation has a variable that is raised to the first power. Exponential equations also have a constant ratio between each term, while linear equations have a constant difference between each term.
Exponential equations are used to model many real-life situations, such as population growth, compound interest, and radioactive decay. They are also used in fields like biology, economics, and finance to analyze and predict trends and patterns.
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