Question

$5^{2x-1}= 3125$ ആയാല്‍ $x=.....$

Answer 1

the answer is
${5}^{2}$

Answer 2

Answer :

x = 3

Explanation :

$5^{2x-1}= 3125$

$\implies 5^{2x-1}= 5^{5}$

$\implies 2x-1= 5$

$\rm \texttt {Since ,\: we \: know \: the \: \\ exponential \: law \: If \: a^{m} = a^{n} \\ then \: m=n }$

$\implies 2x = 5+1$

$\implies 2x = 6$

$\implies x = \frac {6}{2}$

$\implies x = 3$

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