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What is the value of x, if $2 5 x ÷ 2 x = 2205$ ?

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answer is B.

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Detailed Solution

Given-

2 5 x ÷ 2 x = 2205

.
To determine the value of

2 5 x ÷ 2 x = 2205

after simplifying it.
We can simplify it as,

2 5 x ÷ 2 x = 2205 ⇒ 2 5 x − x = 2205 [∵ a m = a 1 m & a m ÷ a n = a m − n] ⇒ 2 4 x = 24

Comparing the power as the base is the same,

⇒ 4 x = 4 ⇒ x = 1

Thus, the value of x, if

2 5 x ÷ 2 x = 2205

is 1.
Hence, option 2 is the correct option.

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