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Klio2033 [76]
3 years ago
10

So, I need to know the basics of the laws for logarithms. I know that there are three, but I need to know more than that. Please

help!!
Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0
It is the number u need for 3 = 9
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Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ
Deffense [45]

Answer:

\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}

Step-by-step explanation:

Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}

\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16

\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i

6 0
2 years ago
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Write 1.68 as a percent.
Ray Of Light [21]

Answer:

1.68 as a percent is 168%.

Step-by-step explanation:

To convert 1.68 to a percentage, multiply the number 1.68 by 100.

4 0
2 years ago
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The total cost of a pair of jeans and three shirts is $114. The shirts each cost the same amount, and the jeans are $45. What is
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The price per shirt is $23.

5 0
3 years ago
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Ethan is watching a satellite launch from an observation spot 1 mile away. Find the angle of elevation from Ethan to the satelli
Thepotemich [5.8K]

Answer:

\theta=80.53^{\circ}

Step-by-step explanation:

From the attached figure, AB is the height of the satellite and the distance between Ethan and the ground is 1 mile.

We can find the angle of elevation from Ethan to the satellite using trigonometry as follows :

\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{6}{1}\\\\\theta=\tan^{-1}(6)\\\\\theta=80.53^{\circ}

So, the angle of elevation is 80.53 degrees.

3 0
3 years ago
What is the solution to this inequality 9-3x>=2(x-3)
NeTakaya
9-3x  \geq 2(x-3)

9-3x  \geq 2x-6

9  \geq 5x-6

15  \geq 5x

3  \geq x

\boxed{x  \leq 3}
3 0
2 years ago
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