find-the-range-of-values-of-k-for-which-the-equation-e-x-5-k-has-no-solution-

Question Number 116722 by ayenisamuel last updated on 06/Oct/20

f i n d t h e r a n g e o f v a l u e s o f k f o r

w h i c h t h e e q u a t i o n e^{x} - 5 = k h a s n o

s o l u t i o n

Answered by Rio Michael last updated on 06/Oct/20

e^{x} - 5 = k

\Rightarrow e^{x} = k + 5

x = \ln (k + 5)

for no solution, k + 5 ⩽ 0 \Rightarrow k ⩽ - 5