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3 years ago

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How to solve 9x-2 × 27x=3

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1 answer:

Soloha48 [4]3 years ago

6 0

Answer:

x = 1

Step-by-step explanation:

Using the rules of exponents

$(a^m)^{n}$ = $a^{mn}$

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

Note that 9 = 3² and 27 = 3³ , thus

$9^{x-2}$ × $27^{x}$

= $(3^2)^{x-2}$ × $(3^3)^{x}$

= $3^{2x-4}$ × $3^{3x}$

= $3^{(2x-4+3x)}$

= $3^{5x-4}$ , then

$3^{5x-4}$ = $3^{1}$

Since the bases on both sides are equal, equate the exponents

5x - 4 = 1 ( add 4 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

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3x-1/5=x+1/3 solve for x

Maru [420]

Answer:

x = 2

Step-by-step explanation:

First, you cross multiply then that will give you

9x - 3 = 5x + 5

collect like terms

9x - 5x = +5 + 3

= 4x = 8

Divide both sides by the coefficient of x that's 4

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Hi there! :)

Answer:

$\huge\boxed{C}$

To simplify the process, convert each given weight into standard notation:

Lion:

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3 years ago

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4 years ago

Trapezoid A B C D is shifted down and to the left to form trapezoid A prime B prime C prime D prime. Trapezoid A prime B prime C

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3 years ago

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What is the equation of the line passing through the points (3,6) and (2,10)

andrezito [222]

Answer: y= - 4x+18

Step-by-step explanation:

Equation: y=mx+b

***remember: b is the y-intercept and m is the slope.

m= $\frac{y2-y1}{x2-x1}$

3= x1

2= x2

6= y1

10=y2

m= $\frac{10-6}{2-3}$ = $\frac{4}{1}$ = -4

m=-4

Now we have y=-4x+b , so let's find b.

You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:

(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.

(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.

Equation of the line: y=-4x+18

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4 years ago