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3 years ago

Solve the equation below for x. log2x + log(2x - 1) = log3x

Mathematics

1 answer:

frosja888 [35]3 years ago

6 0

Answer:

x = 5/4

Step-by-step explanation:

1. cancel x for log 3x and 2x

2. multiply log 2x-1 by log 2

3.simplify to log 4x-2 = log3

4.logs will cancel out and leave you with 4x-2 = 3

5. solve and get 5/4

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Please I need help!!

elixir [45]

Answer:

Min:3 Q:66-9 Med:9 Q3:10-14 Max19

8 0

2 years ago

A local company rents a moving truck for $750 plus $0.59 per mile driven over 1000 mi. What is the maximum number of miles the t

Katen [24]

The maximum number of miles the truck can be driven so that the rental cost is at most $\$1000$ is $\boxed{1423{\text{ miles}}}.$

Further explanation:

Given:

A local company rents a moving truck for $\$ 750.$

Rent per mile is $\$ 0.59$ if the truck moves more than 1000 miles.

Explanation:

The rental cost of the truck is $\$ 750$ if he drove less than 1000 miles.

${\text{Cost}} = \$ 750{\text{ }}x \leqslant 1000$

The rental cost of the truck can be expressed as follows,

${\text{Cost}} = 750 + 0.59x{\text{ }}x > 1000$

The rental cost is at most $\$1000.$

$750 + 0.59x \leqslant 1000$

The maximum number of miles can be obtained as follows,

$\begin{aligned}0.59x &\leqslant 1000 - 750\\0.59x &\leqslant 250\\x &\leqslant \frac{{250}}{{0.59}}\\x &\leqslant 423.7\\\end{aligned}$

The maximum number of miles can be obtained as follows,

$\begin{aligned}{\text{Maximum miles}} &= 1000 + 423\\&= 1423 \\\end{aligned}$

The maximum number of miles the truck can be driven so that the rental cost is at most $\$1000$ is $\boxed{1423{\text{ miles}}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: local company, rents, moving, truck, $750, $0.59, maximum, 1000 miles, $1000, at most, at least, number of miles, rental cost, driven over

3 0

3 years ago

Read 2 more answers

What is the solution to 9+4n -79

Vlada [557]

Answer:

17.5

Step-by-step explanation:

You have to find n right?

9+4n-79 = 0

-> 4n = 70

-> n = 17.5

8 0

3 years ago

An angle measures 72 degrees more than the measure of its complementary angle what is the measure of each angle

labwork [276]

Good evening

Answer:

<h2>measure of Angle 1 = 81°</h2><h2>Measure of angle 2 = 9°</h2>

Step-by-step explanation:

we need to solve this system

x + y = 90 (1)

x = y + 72 (2)

If we substitute x by y+72 into the equation (1) we will get

(y+72) + y = 90 ⇔ 2y + 72 = 90 ⇔ 2y = 90 - 72 = 18 ⇔ y = 9

then x = 90 - 9 = 81

8 0

4 years ago

Which is equivalent to 4y-2x=16

ad-work [718]

X-intercept. y-intercept
4*0-2x=16. 4y-2*0=16
-2x+0=16. 4y-0=16
-0. -0. +0 +0
-2x. /-2 = 16/-2 4y/4 =16/4
x = -8. y = 4
(-8,0) (0,4)

4 0

3 years ago