Question

Find the value x
a. 25×5x=5⁴​

Answer 1

Answer:

x = 5

Step-by-step explanation:

5^4 = 625

5x=625/25

5x = 25

x =5

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Answer 2

Step-by-step explanation:

$\sf : \implies \: 25 \times 5x = {5}^{4} \\ \sf : \implies \: {5}^{2} \times 5x = {5}^{4} \\ \sf : \implies \: 5x = \frac{ {5}^{4} }{ {5}^{2} } \\ \sf : \implies \: 5x = {5}^{(4 - 2)} \\ \sf : \implies \: x = \frac{ {5}^{2} }{5} \\ \sf : \implies \: x = {5}^{2 - 1} \\ \sf : \implies \: x = 5 \: ans.$

Note :

$\sf \: \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$