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2 years ago

13

How do i solve for x by using natural log (in)?

1 answer:

Helga [31]2 years ago

7 0

Unfortunately you cannot use logs to solve this.

However, it shouldn't take too long to use guess-and-check to see that

$2^x+3^x = 2^2+3^2 = 4+9 = 13$

Showing that x = 2 is the solution to the equation.

You can use a graphing calculator to graph out $y = 2^x+3^x$ and $y = 13$ . The two curves cross at (2,13). The x coordinate of that intersection is what we're after. GeoGebra and Desmos are two free options you can pick from in terms of a graphing calculator.

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You scored 53 in fight 1 and 103 in fight 2

sergey [27]

103+53=156
156/2=78
The average or mean is 78

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2 years ago

One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up

Anit [1.1K]

Let

$A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)$

using a graph tool

see the attached figure

The figure is a triangle

we know that

<u>The Heron's Formula</u> is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

$Area=\sqrt{p*(p-a)*(p-b)*(p-c)}$

where

p is is half the perimeter of the triangle

a,b,c are the lengths of the sides of a triangle

so

Step $1$

<u>Find the length sides of the triangle</u>

a) <u>Find the distance AB</u>

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}$

$d =3.5\ mi}$

b) <u>Find the distance AC</u>

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}$

$d =6.15\ mi}$

c) <u>Find the distance BC</u>

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}$

$d =2.75\ mi}$

Step $2$

<u>Find the perimeter of the triangle</u>

$Perimeter= 3.5+6.15+2.75 =12.4\ mi$

<u>Find the half of the perimeter </u>

$p=\frac{12.4}{2} = 6.2\ mi$

Step $3$

<u>Find the area of the triangle</u>

$Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}$

$Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}$

$Area= 1.69\ mi^{2}$

therefore

<u>the answer is the option </u>

a) 1.65 mi^2.

4 0

3 years ago

Read 2 more answers

If 90 is 30% of a number, what is 200% of the number.

KATRIN_1 [288]

600 becuase 90/.30= 300 and 300*2 =600

6 0

3 years ago

What is the answer to 36÷9 using a number line?

Katarina [22]

To divide 36/9 using the number line you have to jump from zero with length of 9 until reach 36, and the result will be the number of jumps.

I do the jumps by steps, but you can draw in the number line:

0. First jump from 0 to 9.

,

1. Second jump from 9 to 9+9=18.

,

2. Third jump from 18 to 18+9=27.

,

3. Fourth jump from 27 to 27+9=36.

,

4. Great!! We already reach 36.

So, we need four jumps of 9 to reach 36 from 0.

So, the result is 36/9=4

4 0

1 year ago

A basketball player shoots when she is 16 ft from the backboard. Given the ball has an initial velocity v0 at an angle of 30° wi

astra-53 [7]

The answer is 29.574 ft.

7 0

2 years ago