Answer:
Step-by-step explanation:
Let the number is in the form of xyz
<h3>We have</h3>
Sum of the digits is 19
The second digit is one more than the first digit
The third digit is two more than the second digit
- z = y + 2 = x + 1 + 2 = x + 3
<u>Substitute the values of y and z</u> into the first equation and solve for x
- x + x + 1 + x + 3 = 19
- 3x + 4 = 19
- 3x = 15
- x = 5
<u>Find the value of y and z</u>
- y = 5 + 1 = 6
- z = 5 + 3 = 8
The number is 568
6/(4 - 13i) = 6/(4 - 13i) * (4 + 13i)/(4 + 13i) = (24 + 78i)/(16 + 169) = 6/185 (4 + 13i)
Y = log3 27
27 = 3^x
3^3 = 27
so x = 3
Answer:
∛27 = 3
Step-by-step explanation:
A radical is simply a fractional exponent: ![a^{(\frac{m}{n})} = \sqrt[n]{a^{m} }](https://tex.z-dn.net/?f=a%5E%7B%28%5Cfrac%7Bm%7D%7Bn%7D%29%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%20%7D)
Hence, ∛27 = 
Since 27 = 3³, then:
You could rewrite ∛27 as ∛(3)³.
![\sqrt[3]{3^{(3)} } = 3^{[(3)*(\frac{1}{3})]}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%5E%7B%283%29%7D%20%7D%20%3D%203%5E%7B%5B%283%29%2A%28%5Cfrac%7B1%7D%7B3%7D%29%5D%7D)
Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the <u><em>multiplicative inverse</em></u> of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.
Therefore, ∛27 = 3.