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2 years ago

Given the following logarithmic equation, think about how you would solve each one. Now,

Mathematics

1 answer:

Daniel [21]2 years ago

5 0

Answer: x = 3/2

Step-by-step explanation:

log (2) + log (x) = log (3) Given

log(2x) = log(3) Condensing log rules

2x = 3 Cancellation log rule

$x=\dfrac{3}{2}$ Division Property

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2 years ago

Question 2(Multiple Choice Worth 1 points) (06.01) Solve 2x + 5y = −13 3x − 4y = −8 (4, 1) (−4, 1) (4, −1) (−4, −1)

dlinn [17]

ANSWER

The solution is
$(-4,-1)$

EXPLANATION

The given equations are:

$2x + 5y = - 13...(1)$

and

$3x - 4y = - 8...(2)$

We multiply equation 1 by 3 to get,

$6x + 15y = - 39...(3)$

We multiply equation 2 also by 2 to get,

$6x - 8y = - 16...(4)$

We subtract equation 4 from equation 3 to get,

$23y = - 23$
This implies that,

$y = - 1$

We put this value of y into any of the equations say equation 2

$3x - 4( - 1) = - 8$
Simplify

$3x + 4 = - 8$
Group like terms
$3x = - 8 - 4$
Simplify,

$3x = - 12$

Divide both sides by 3 to get,

$x = - 4$

Therefore the solution is
$(-4,-1)$

The correct answer is option D.

3 0

3 years ago

31,059 is rounded by ten thousands in math

kifflom [539]

This would be 30,000

8 0

3 years ago