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

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet