Question

Find the value of x such that 25×5^x = 5^8​

Answer 1

Step-by-step explanation:

$\implies 25 \times {5}^{x} = {5}^{8} \\ \implies{5}^{2} \times {5}^{x} = {5}^{8} \\ \implies{5}^{2 + x} = {5}^{8} \\ Base \: are \: same. \: so, \: we \: equate \: the \: power \: \\ \implies2 + x = 8 \\ \implies x = 8 - 2 \\\implies\boxed{x = 6}$

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Answer 2

Answer:

25X5^x=5^8

Step-by-step explanation:

see the short form for 25=5²

therefore,5²X5^x-5^8

5^2+x = 5^8

both bases are same so let us solve the powers

2+x=8

x=8-2

=6

x=6