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3 years ago

Evaluate the following log32-log64+log16

2 answers:

7 0

Using properties of logarithms:

log(m+n) = log(m.n)

log(m-n) = log (m/n)

we get,

log(32x16/64)

On simplifying:

log(8)

and 8= 2^3

therefore,

log(2^3)

again using another property for exponents in logarithms we get:

3 log 2 <---- Answer

Vinil7 [7]3 years ago

5 0

Answer:

3/2

Step-by-step explanation:

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Simplify 2/√5

Arada [10]

The answer would be 2√5/5

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3 years ago

If the values of the supplementary angles are 40 and 2x, what is the value of x? ANSWER QUICKLY PLS!

Zolol [24]

Answer:

140°

Step-by-step explanation:

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3 years ago

6 boxes weigh the same amount. If the boxes weigh 60 pounds all together, how many pounds does each box weigh. (hElp)

kolbaska11 [484]

Answer:

Each would equal 10 lbs.

Step-by-step explanation:

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2 years ago

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Please help! acellus

ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$

∴ the hypotenuse length x is equal to √909 and the number under the square root, our answer, is equal to 909.

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Learn more about Trigonometry: brainly.com/question/27707750

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Topic: Trigonometry

3 0

2 years ago