Question

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

Answer 1

`\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`