How many times does 5 go into 8? One time, subtract 8-5 which is three. Bring down the two which gives you 32. How many times does 5 go into 32? 6. Bring down a zero again. Keep bringing down zeroes. Usually don't go beyond three decimal points.

6 0

2 years ago

Read 2 more answers

Solve: e^2x + 5 = 4<br> help pls

kaheart [24]

Answer:

The solution of the equation is $x=\frac{(ln4)-5}{2}$ ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to solve this problem

- The function f(x) = e^x is called the (natural) exponential function

- The natural logarithm (㏑), or logarithm to base e, is the inverse

function to the natural exponential function

∵ $e^{2x+5}=4$ is an exponential function

∴ We can solve it by using the inverse of e (㏑)

- Remember:

# $ln(e)=1$

# $ln(e^{m})=m(ln(e))=m$

- Insert ln in both sides

∴ $ln(e^{2x+5})=ln(4)$

∵ $ln(e^{2x+5})=(2x+5)ln(e)=2x+5$

∴ 2x + 5 = ㏑(4)

- Subtract 5 from both sides

∴ 2x = ㏑(4) - 5

- Divide both sides by 2 to find x

∴ $x=\frac{ln(4)-5}{2}$

* The solution of the equation is $x=\frac{(ln4)-5}{2}$

4 0

3 years ago

Read 2 more answers

Pablo folds a straw into a triangle with side lengths of 4x2 – 3 inches, 4x2 – 2 inches, and 4x2 – 1 inches. The perimeter of th

White raven [17]

We know that
<span>the length of the straw before it was folded is equal to the perimeter of the triangle

perimeter=12x</span>²-6 in
substitute the value of x
x=1.5 in
perimeter=12*(1.5)²-6-----> 21 in

the answer is
21 in

7 0

3 years ago

Read 2 more answers