[tex] \sqrt{5^x} * \sqrt{3^x}=15 \sqrt[4]{15} [/tex]. Created by Murad313. algebra-ru

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Murad313 @Murad313

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[tex] \sqrt{5^x} * \sqrt{3^x}=15 \sqrt[4]{15} [/tex]

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$\sqrt{5^x} * \sqrt{3^x}=15 \sqrt[4]{15}$
$5^ \frac{x}{2} *3^ \frac{x}{2} =15*15^ \frac{1}{4}$
$(5*3)^ \frac{x}{2} =15^ \frac{5}{4}$
$15^ \frac{x}{2} =15^ \frac{5}{4}$
$\frac{x}{2} = \frac{5}{4}$
$x= \frac{5}{2} =2 \frac{1}{2} =2,5$
Ответ: 2,5.

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arifmeticheskaya progressiya a7 a19126 najti a13

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