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4 years ago

NEED HELP FAST!!!!!!

Mathematics

1 answer:

Alex Ar [27]4 years ago

7 0

Asked and answered at brainly.com/question/8535173

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Which expression is equivalent to log2 9x^3?

marishachu [46]

Answer:

Option 1 - $\log_{2}(9 {x}^{3} )=\log_{2}(9 ) +3 \log_{2}( {x} )$ - log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x

Step-by-step explanation:

Given : Expression $\log_2(9x^3)$

To find : Which expression is equivalent to given expression ?

Solution :

Expression $\log_2(9x^3)$

Applying logarithmic property, $\log_{a}( MN ) = \log_{a}( M) + \log_{a}( N )$

$\log_{2}(9 {x}^{3} ) = \log_{2}(9 ) + \log_{2}( {x}^{3} )$

Using property, $\log_{a}( { M}^{n} ) =n \log_{a}( { M})$

$\log_{2}(9 {x}^{3} )=\log_{2}(9 ) +3 \log_{2}( {x} )$

i.e. log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x

Therefore, option 1 is correct.

8 0

3 years ago

Read 2 more answers

What is the sum of...

Citrus2011 [14]

999000 is the sum :))):):):):):vdudcdusguvsudvuwvidvo eivsovdibegsivsivdiebiscu 92964969268538604487261

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3 years ago

Write an expression that can be used to find the price of a shirt that is 60% off the original price x

goldenfox [79]

Answer:

0.40x

Step-by-step explanation:

If x is the original price, 60% of x is 0.60x. When that is subtracted from the original price, the sale price is ...

sale price = x - 0.60x = (1 -0.60)x

sale price = 0.40x

_____

Full price is 100% of x. If the price has been reduced 60%, then 40% of the original price remains as the sale price.

8 0

3 years ago

Which equation can you use to solve for x?

avanturin [10]

Opposite angles are equal so the equation is

x + 71 = 108 (A)

3 0

3 years ago

Read 2 more answers

triangle ABC ~ triangle XYZ , where AB = 18 cm, BC = 30 cm , and CA = 42 cm . The longest side of triangle XYZ is 25.2 cm. What

salantis [7]

Answer:

The perimeter of triangle XYZ is 54 cm

Step-by-step explanation:

In similar triangles, their corresponding sides are proportional, which means the ratios of the corresponding sides are equal

Their perimeters have the same ratio as their corresponding sides, which means P1 = r × P2, where r is the ratio of similarity

Their areas have the square of the ratio as their corresponding sides, which means A1 = r² × A2

∵ Δ ABC is similar to Δ XYZ

∵ The longest side in Δ XYZ is 25.2 cm

→ That means its corresponding side in Δ ABC is the longest side

∵ AB = 18 cm, BC = 30 cm, CA = 42 cm

∴ The longest side in Δ ABC is CA

∴ CA is the corresponding side of the side of length 25.2 cm

∴ The ratio of similarity = $\frac{25.2}{42}$ = 0.6 ⇒ (r)

∵ The perimeter of Δ ABC = AB + BC + CA

∴ The perimeter of Δ ABC = 18 + 30 + 42

∴ The perimeter of Δ ABC = 90 cm

→ Use the 2nd fact above

∵ P of Δ XYZ = r × P of Δ ABC

∵ r = 0.6 and P of Δ ABC = 90

∴ The perimeter of Δ XYZ = 0.6 × 90

∴ The perimeter of Δ XYZ = 54 cm

5 0

3 years ago