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Effectus [21]
2 years ago
8

Express the given quantity as a single logarithm. ln x + a ln y − b ln z

Mathematics
1 answer:
professor190 [17]2 years ago
6 0
The rules of logarithms tell you ...
• \ln(a)+\ln(b)=\ln(a \cdot b)
• a \cdot \ln(b)=\ln(b^{a})

\ln(x)+a \cdot \ln(y)-b \cdot \ln(z)=\ln\left( \dfrac{x \cdot y^{a}}{z^{b}} \right)
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eight more than the product of four and a number is equivalent to seven less than the same number in equation form.
Georgia [21]
4n + 8 = n - 7
(In which 'n' represents the unknown number)

(4n + 8): "Eight more than the product of four and a number"

(= n - 7): "Is equivalent to seven less than the same number in equation form."

Subtract 8 from both sides:
4n = n - 15

Subtract n from both sides:
3n = -15

Divide both sides by 3:
n = -5
5 0
3 years ago
Write (-5+8i)+(-5-8i) as a complex number in standard form
gizmo_the_mogwai [7]
(-5+8i)+(-5-8i) =
-5+8i-5-8i=-10
5 0
3 years ago
X+8=17 what is the value of x makes the sentece true​
melisa1 [442]

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

x + 8 = 17

Step 2: Solve for <em>x</em>

  1. Subtract 8 on both sides: x = 9

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9 + 8 = 17

17 = 17

7 0
3 years ago
Help me help help help
Rasek [7]

Answer:

D.

Step-by-step explanation:

I hope this helps

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7 0
3 years ago
the density of a substance is 2.5 cm calculate the volume of the substance if its mass is 25.0 grams​
sesenic [268]

Answer:

10 cm³

Step-by-step explanation:

The equation for density is: d = m/v, where d is the density, m is the mass, and v is the volume.

Here, d = 2.5 and m = 25.0, so plug these into the equation to solve for v:

d = m/v

2.5 = 25/v

Multiply both sides by v:

2.5v = 25

Divide by 2.5:

v = 25/2.5 = 10

Thus, the volume is 10 cm³.

7 0
2 years ago
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