All categories

3 years ago

Solving an exponential equation

Mathematics

1 answer:

sammy [17]3 years ago

8 0

Answer:

To solve an exponential equation, take the log of both sides, and solve for the variable.

Step-by-step explanation:

Example 1: Solve for x in the equation tex2html_wrap_inline119 .

Solution:

Step 1: Take the natural log of both sides:

displaymath121

Step 2: Simplify the left side of the above equation using Logarithmic Rule 3:

displaymath123

Step 3: Simplify the left side of the above equation: Since Ln(e)=1, the equation reads

displaymath127

Ln(80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln(80)..

Check: Check your answer in the original equation.

displaymath131

You might be interested in

When two lines intersect, are all the angles formed equal?

Thepotemich [5.8K]

Answer: No

Step-by-step explanation:

If we don't know if the lines are parallel, we cannot conclude the angles are equal.

8 0

2 years ago

EASY NEED HELP ASAP What is the perimeter of the inside of the track?

Kruka [31]

Answer:

150x46=6,900

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A(n) _______ appears behind selected text. dotted line double-arrow point blue line shaded background

alexandr1967 [171]

A (n) Shaded background Appears behind selected text so option. 4) Is correct.

What is shading background?

Shading background is process, When selecting a particular text there behind the text a shad will form which shows the number of texts selected

Thus, shaded background appears behind selected text

Learn more about related Commands here:
brainly.com/question/13519182

#SPJ1

4 0

1 year ago

The following graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k:

hoa [83]

B is the correct answer

4 0

3 years ago

If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nea

777dan777 [17]

Answer:

The lengths of side A is 22.4 and B is 11.9.

Step-by-step explanation:

Given:

If side A is twice as long as B and C is 25 using the Pythagorean Theorem.

Now, to find the lengths of side A and B.

Let the side B be $x.$

So, the side A be $2x.$

Side C = 25.

Now, to solve by using Pythagorean Theorem:

A² + B² = C²

$(2x)^2+(x)^2=(25)^2$

$4x^2+x^2=625$

$5x^2=625$

Dividing both sides by 5 we get:

$x^2=125$

Using square root on both sides we get:

$x=11.18.$

B rounding to the nearest tenth = 11.9.

Now, to get A by substituting the value of $x$ :

$2x\\=2\times 11.18\\=22.36.$

A rounding to the nearest tenth = 22.4.

Therefore, the lengths of side A is 22.4 and B is 11.9.

8 0

3 years ago