Question

Solve the following logarithmic equations.
log2(1 − x) = 4

Answer 1

x = - 15

Explanation:

given,

log₂ (1 - x) = 4

using logarithmic identity

logₐ x = b

x = aᵇ

converting into exponential form as the base is 2

1 - x = 2⁴

1 - x = 16

x = 1 -16

x = - 15

hence the required solution of X is x = - 15