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scientifico
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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 = 2x .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.
Some properties of exponential equations include the power rule, product rule, quotient rule, and zero and negative exponent rules. These properties can be used to manipulate and solve exponential equations and make calculations easier.