Asked by Sara
solve the following equation show all work log4(x-4)= -1.
Answers
Answered by
Reiny
by definition:
log<sub>4</sub> (x-4) = -1
is equivalent to
x-4 = 4^-1
x-4 = 1/4
x = 1/4 - 4
= -15/4
so we would have log (-3/4-4)
but we cannot take the log of a negative, so ....
no solution.
log<sub>4</sub> (x-4) = -1
is equivalent to
x-4 = 4^-1
x-4 = 1/4
x = 1/4 - 4
= -15/4
so we would have log (-3/4-4)
but we cannot take the log of a negative, so ....
no solution.
Answered by
Steve
log takes on all real values for its range. So, something's wrong here.
x - 4 = 1/4
x = 1/4 + 4
x = 17/4
log<sub>4</sub>(17/4 - 4) = log<sub>4</sub>(1/4) = -1
x - 4 = 1/4
x = 1/4 + 4
x = 17/4
log<sub>4</sub>(17/4 - 4) = log<sub>4</sub>(1/4) = -1
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