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

what?

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: