Prove Equation Has At Least One Real Solution

Calculus
Section 2.5

How about 60 (a & b)?

 

60.
prove that ln(x)=3-2x at least one real solution in interval of length 0.01=>
the interval [x, x+0.01]

using calculator, we get:
x ≈ 1.34996




From the graph we can see that the root lies between 1.34 and 1.35=>[1.34 , 1.35] which is an interval of length 0.01

 

I see that it is easier to show the prove via graphing on the xy-plane. We end our Sunday here. I will keep my word in terms of solving 4 Intermediate Value Theorem problems when time allows (weather permitting). It is like an oven in NYC. By the way, I AM NOT A FAN OF THE SUMMER HEAT.