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tamaranim1 [39]
1 year ago
14

Divide and simplify. √36 x⁴ / √9 x⁶

Mathematics
1 answer:
Vikki [24]1 year ago
7 0

The divide and simplify of the equation √36 x⁴ / √9 x⁶ will result to  \frac{2}{x^{2} }

Let's begin by simplifying the equation;

Simplify the equation by finding the square root of both 36 and 9

The square root of 36= 6

The square root of 9= 3

= \frac{6x^{4} }{3x^{6} }

The above equation can also be written as;

=  6x^{4}  * 3x^{-6}

The next step is to solve the powers, that is,

=   \frac{6x^{4} }{3x^{6} }

Cancel out 6 by 3 and get  2

The result is,  

=  \frac{2}{x^{6-4} }

The final submission result is,

=  \frac{2}{x^{2} }

To find more on divide and simplify, go to: brainly.com/question/16356152

#SPJ4  

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3 years ago
Solve the following logarithmic equations.<br> ln(x^6) = 36
Hoochie [10]

Answer:

The solution is x = e⁶

Step-by-step explanation:

Hi there!

First, let´s write the equation

ln(x⁶) = 36

Apply logarithm property: ln(xᵃ) = a ln(x)

6 ln(x) = 36

Divide both sides of the equation by 6

ln(x) = 6

Apply e to both sides

e^(ln(x)) = e⁶

x = e⁶

The solution is x = e⁶

Let´s prove why e^(ln(x)) = x

Let´s consider this function:

y = e^(ln(x))

Apply ln to both sides of the equation

ln(y) = ln(e^(ln(x)))

Apply logarithm property: ln(xᵃ) = a ln(x)

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Apply logarithm equality rule: if ln(a) = ln(b) then, a = b

y = x

Since y = e^(ln(x)), then x =e^(ln(x))

Have a nice day!

8 0
3 years ago
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