Use natural logarithms to solve the equation. round to the nearest thousandth. 3e^2x +5=27

x=0.996

Step-by-step explanation:

To take natural log ln , we need to get e^2x alone

Subtract 5 on both sides

Now we divide both sides by 3

Now we take 'ln' on both sides

As per log property we can move exponent 2x before ln

The value of ln(e) = 1

Divide both sides by 2

x= 0.996215082

Round to nearest thousandth

x=0.996

g

step-by-step explanation:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2