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25-08-2019
Mathematics

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What is the value of x in the equation (5^x)^5=5^35

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jdoe0001 jdoe0001

25-08-2019

[tex]\bf (5^x)^5=5^{35}\implies 5^{x\cdot 5}=5^{35}\impliedby \begin{array}{llll} \textit{same bases}\\ \textit{same exponents} \end{array}\implies 5x = 35 \\\\\\ x = \cfrac{35}{5}\implies x=7[/tex]

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