Question

if 5^x= 1÷625 and x+y=1 then find"y​

Answer 1

$Given\:5^{x} = \frac{1}{625}$

$\implies 5^{x} = \frac{1}{5^{4}}$

$\implies 5^{x} = 5^{-4}$

$\implies x = -4\: --(1)$

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

$Now, x + y = 1 \: ( given )$

$\implies -4 + y = 1 \: [From \:(1) ]$

$\implies y = 1 + 4 = 5$

Therefore.,

$\red { Value \:of \:y } \green { = 5 }$

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