Question

FInd the number of solutions

Answer 1

\[3^{|x|}=|2-|x||\]

Answer 2

i would approach this by cases
suppose x >= 0 , then
3^x = | 2 - x |

if x < 0
then
3^(-x) = | 2 - (-x) |

Answer 3

I don't think i am getting anywhere

Answer 4

now you have two further cases, when x> 2 and x <= 2

Answer 5

I am able to do it using graphs but I am not able to do it like this.