1,000,000+3000,000+30,000+4,000+400+50+7
E^2x - 5e^x = 24
(e^x)^2 - 5e^x =24
let e^x = u
u^2 - 5u = 24
u^2 -5u - 24 =0
(u - 8)(u+3)=0
u = 8 or u = -3
since e^x = u then u can't equal -3
e^x = 8
by taking ln for both sides
ln(e^x) = ln(8)
xln(e) = ln(8) .......................ln(e) = 1
x = ln(8) = 3ln(2)
A number line is a representation of a graded straight line. The number √128 will lie between 11.3 and 11.4.
<h3>What is a number line?</h3>
A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are represented by the letter R. A real number is considered to correspond to every point on a number line, and a point to every real number.
In order to know the location of the √128, we need to write the number √128 in decimal form, therefore, the value of √128 can be written as,

Now, on the number line if we plot √128 we will see that it will lie between 11.3 and 11.4, as shown below.
Hence, the number √128 will lie between 11.3 and 11.4.
Learn more about Number Line:
brainly.com/question/557284
Answer: 464
Step-by-step explanation: