Let's solve the exponential equation 4ex = 80. (a) First, we isolate ex to get the equivalent equation Correct: Your answer is correct. . (b) Next, we take ln of each side to get the equivalent equation Incorrect: Your answer is incorrect. . (c) Now we use a calculator to find x ≈ 2.996 Correct: Your answer is correct. . (Round your answer to three decimal places.)

The solution of the exponential equation is

x = 2.996

Step-by-step explanation:

To solve the exponential equation

First, we will isolate by dividing both sides of the equation by 4, so that we get

Now, we will take the ln of both sides of the equation to get

(NOTE: )

Then,

∴ x = 2.996 (to three decimal places)

Hence, the solution of the exponential equation is

x = 2.996

d. 9

step-by-step explanation:

in the table given in the picture, x is the input of the function and f(x) is the output on the given input. in the given table, it can be read as the value of function at -3 is it's respective value of f(x) which is -9.

as we have to find the value of f(3), we will see that what is the value of output on input 3. we can see in the table that the output value at x=3 is 9.

so, option d is the correct answer ..

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.