Solve the following equations: log2 (25- x ) = 3
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The value of x = 17
- Given, log₂( 25 - x ) = 3
- According to logarithm definition, if x and a are positive real numbers and a ≠ 1, then logₐ(x) = n that is equivalent to aⁿ = x.
- Thus, we get 2³ = 25 - x
- ⇒ 8 = 25 - x (∵ 2³ = 8 )
- ⇒ x = 25 - 8
- ⇒ x = 17
- Hence, value of x in log₂( 25 - x ) = 3 is 17.
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