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a function is considered exponential when it has a base with positive values greater than zero and different from one wher

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A function is considered exponential when it has a base with positive values greater than zero and different from one, where the exponent is an unknown. An important characteristic of exponential functions is that they show rapid growth or decay as an independent variable increases or decreases. Given the function 25^(x+3)=125, it is calculated that x has the value of

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Answer to a math question A function is considered exponential when it has a base with positive values greater than zero and different from one, where the exponent is an unknown. An important characteristic of exponential functions is that they show rapid growth or decay as an independent variable increases or decreases. Given the function 25^(x+3)=125, it is calculated that x has the value of

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125=5^3\:\:25=5^2\:\:so\:\:5^2^{\left(x+3\right)}=5^3\:\to\:2x+6=3\:\to x=-\frac{3}{2}

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