Question

5 power x + 5power x + 1+ 5 power x+2+ 5 power x + 3 + 5 power x+4 is equal to 781

Answer 1

zero is the answer of your question

Answer 2

$5^{x} +5^{x+1} +5^{x+2} +5^{x+3} +5^{x+4} = 781$

$\implies 5^{x} +5^{x} \times 5^{1}+5^{x}\times 5^{2} +5^{x} \times 5^{3}+5^{x} \times 5^{4} = 781$

$\boxed {\pink { Since, a^{m+n} = a^{m} \times a^{n}}}$

$\implies 5^{x} (5 + 5^{2}+5^{3}+5^{4})= 781$

$\implies 5^{x} ( 5+25+125+625) = 781$

$\implies 5^{x} \times 781 = 781$

$\implies 5^{x} = \frac{781}{781}$

$\implies 5^{x} = 1$

$\implies 5^{x} = 5^{0}$

$\implies x = 0$

$\boxed {\pink { Since, If \: a^{m} = a^{n} \implies m = n }}$

Therefore.,

$\red { Value \:of \:x }\green {= 0}$

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