All categories

3 years ago

Solve each exponential equation. 6^x+2 = 12

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

Answer:

The solution is x = 1/log(6)

Step-by-step explanation:

Hi there!

First, let´s write the equation:

6ˣ + 2 = 12

subtract 2 at both sides of the equation

6ˣ = 10

apply log at both sides of the equation

log(6ˣ) = log(10) log(10) = 1

Apply logarithm property: log(xᵃ) = a log(x)

x log(6) = 1

Divide both sides by log(6)

x = 1/log(6)

The solution is x = 1/log(6)

Have a nice day!

You might be interested in

Solve the following system for all solutions:

Burka [1]

Answer:

then

−

and

Step-by-step explanation:

7 0

3 years ago

You can ride your bike around your block twice and the whole neighborhood once in 10 minutes. You can ride your bike around your

Oduvanchick [21]

Answer:

The answer is 7

Step-by-step explanation:

3 0

2 years ago

6 4/5+5 3/10 adding and subtracting mixed number

lawyer [7]

Too add mixed numbers, first convert them to improper fractions:

34/5 + 53/10

Next, find a common denominator, which in this case is 10.

Convert 34/5 so that it has a denominator of 10 by multiplying the ENTIRE fraction by 2: 68/10

68/10 + 53/10 = 121/10

You can either give your answer in the form of an improper fraction: 121/10, or a mixed number 12 1/10

4 0

3 years ago

QUESTION 2. the feasible region shows the number of chairs x and tables y that a furniture company can build each week.

GalinKa [24]

Answer:

Part a) The company can not build 12 chairs and 5 tables

Part b) The company can build 18 chairs and 3 tables

Part c) The company can build 12,13,14,15,16 or 17 chairs

Step-by-step explanation:

we know that

If a ordered pair is a solution, then the ordered pair must be belong to the feasible region of the graph

Part a) Can the company build 12 chairs and 5 tables?

In this problem we have the ordered pair A(12,5)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point A is not on the feasible region

therefore

The company can not build 12 chairs and 5 tables

Part b) Can the company build 18 chairs and 3 tables?

In this problem we have the ordered pair B(18,3)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point B is on the feasible region

therefore

The company can build 18 chairs and 3 tables

Part c) One week, the company decides to build 4 tables. how many chairs can the company build?

For y=4

Find the value of x in the graph

The solutions point for y=4 tables are

(12,4), (13,4),(14,4),(15,4),(16,4) and (17,4)

therefore

The company can build 12,13,14,15,16 or 17 chairs

3 0

3 years ago

What single decimal multiplier would you use to increase by 10% followed by a 16% decrease?

Neko [114]

So a decrease of 16% followed by an increase of 14% is the same as multiplying by 0.9576 (which is a decrease of 4.24%)

7 0

2 years ago