Solve each equation. Round to four decimal places.
e^x=8

x ≈ 2.0794

Step-by-step explanation:

Given

= 8 ( take ln of both sides )

ln = ln 8

x lne = ln 8 [ lne = 1 ]

x = ln 8 ≈ 2.0794 ( to 4 dec. places )

x ≈ 2.0794

Step-by-step explanation:

Take the natural logarithm of both side of equation

Write the number in exponential form.

Use In(aⁿ) = n × In ( a ) to transform the expression.

Round to four decimal places = 2.0794

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

m

step-by-step explanation: