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2 years ago

Which shows the first step in the solution to the equation log2x log2(x – 6) = 4?.

Mathematics

1 answer:

Olenka [21]2 years ago

5 0

The first step is to solve the equation by using the base property.

Given

Equation; log2x + log2(x – 6) = 4

<h3>What is logarithmic property?</h3>

The logarithmic function is an inverse function to exponentiation.

The equation is solved in the following steps given below.

$\rm log_2x+log_2(x- 6) = 4 \\\\log_2(x \times (x-6)=4\\\\x\times (x-6)=2^4\\\\x^2-6x=16\\\\x^2-6x-16=0\\\\$

Hence, the first step is to solve the equation by using the base property.

To know more log properties click the link given below.

brainly.com/question/2957521

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Use the quadratic formula to solve x² + 9x + 10 = 0.<br><br> What are the solutions to the equation?

jok3333 [9.3K]

Answer:

$-1.30\ and\ -7.70$ (2 decimal places)

Step-by-step explanation:

Quadratic Formula: $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

-----------------------------------------------

$x^2+9x+10=0$

Plug in values:

$x=\frac{-9\pm \sqrt{9^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}$

First value of x:

$x=\frac{-9+\sqrt{41}}{2}=-1.30$ (2 decimal places)

Second value of x:

$x=\frac{-9-\sqrt{41}}{2}=-7.70$ (2 decimal places)

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3 years ago

Order the side lengths from least to greatest

Liula [17]

Answer:

BC < CE < BE < ED < BD

Step-by-step explanation:

In the triangle BCE,

m∠BEC + m∠BCE + m∠CBE = 180°

m∠BEC + 81° + 54° = 180°

m∠BEC = 180 - 135

m∠BEC = 45°

Order of the angles from least to greatest,

m∠BEC < m∠CBE > mBCE

Sides opposite to these sides will be in the same ratio,

BC < CE < BE ----------(1)

Now in ΔBED,

m∠BEC + m∠BED = 180°

m∠BED = 180 - 45

= 135°

Now, m∠BDE + m∠BED + DBE = 180°

11° + 135°+ m∠DBE = 180°

m∠DBE = 180 - 146

= 34°

Order of the angles from least to greatest will be,

∠BDE < ∠DBE < ∠BED

Sides opposite to these angles will be in the same order.

BE < ED < BD ----------(2)

From relation (1) and (2),

BC < CE < BE < ED < BD

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3 years ago

Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equa

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Answer:

D the last option

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3 years ago

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A donkey weighs 570 pounds and an elephant weighs 5 tons. How much more does the elephant weigh?

BlackZzzverrR [31]

A ton is equivalent to 1000 pounds so:
the elephant weighs 5000 pounds
5000-570= 4430
The elephants weighs 4430 pounds more.

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3 years ago

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Which is the residual value when x = -2?

Aleks [24]

Answer:

-2

Step-by-step explanation:

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