Express the given logarithmic expression as a single logarithm.

Mathematics

1 answer:

Ganezh [65]3 years ago

3 0

Using the laws of logarithms, we get: $5\ ln(x)+2\ ln(y)=ln(x)^{5}+ln(y)^{2}=ln( x^{5}y^{2})$
The answer is a.

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Factor of x^3-x^2-24x-36

Basile [38]

The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***

f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).

5 0

3 years ago

Simplify the expression 2x - 7 + 4x

bija089 [108]

Answer:

6x−7

Step-by-step explanation:

2x−7+4x

=2x+−7+4x

Combine Like Terms:

=2x+−7+4x

=(2x+4x)+(−7)

=6x+−7

3 0

3 years ago

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If Kaylee was 18 and Lylah was 45 how many years younger would Kaylee be??

SVETLANKA909090 [29]

You are trying to find how much younger Kaylee is than Lylah.

You would subtract her age from Lylah's.

45-18= 27

Kaylee was 27 years younger than Lylah.

I hope this helps!
~kaikers

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3 years ago

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Ramona went out with her 3 sisters, they spent $58 plus

Leto [7]

<h2>Problem:</h2>

Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?

<h2>Solution:</h2>

$\frac{58 + 58(9\% + 15\%)}{3}$