Question 1072169
y=-2x+3 
y=-2*3^x
:
plot these two equations and it is apparent there are 0 solutions 
{{{ graph( 300, 200, -6, 5, -10, 10, -2*3^x, -2x+3) }}}
:
y=y therefore
{{{-2*3^x = -2x+3}}}
multily both sides by -1
{{{2*3^x = 2x-3}}}
divide both sides by 2
{{{3^x = x - 1.5}}}
{{{3^x - x + 1.5 = 0}}}
plot this equation, no real roots here either
{{{ graph( 300, 200, -6, 5, -10, 10, 3^x -x+1.5) }}}