EducationForLife EducationForLife
  • 07-02-2018
  • Mathematics
contestada

10^x • 100^2x = 1000^5. Step by Step

Respuesta :

zrh2sfo
zrh2sfo zrh2sfo
  • 07-02-2018
Step one: set the base of each term to be the same (10)
(10ˣ)(10²)²ˣ = (10³)⁵
(10ˣ) (10⁴ˣ)= (10¹⁵)
10⁵ˣ = 10¹⁵
Because the indices are the same we can equate the two.
5x = 15
x = 3

Check 10⁵ˣ³ = 10¹⁵    10¹⁵=10¹⁵
Answer Link

Otras preguntas

What characteristics of New England colonies encouraged their specialization in fishing and shipbuilding?
why was that population found in those colonies?
(–18x – 12) – (–13x + 17).
Describe how carbon dioxide and water reach the chloroplasts in the leaves.
Which statement about Egyptian, Byzantine, and Japanese decorative containers is true? A. They had few or no symbolic images. B. They could be used for s
How did the United States find out about Russian nuclear missiles being sent to Cuba in 1962?
If f = {(2, 3), (5, 7), (3, 3), (5, 4), (9, 1)}, what is the range?
What is the value of x in the equation x − 7 = 11? 1.57 4 15 18
Sum of first P terms of an AP is 0 , if 'a' is the first term , prove that the sum of next q terms is -aq(p+q)/p-1, P is not equal to 0
Estimate the quotient of 250.311 ÷ 4.65. Round the dividend and divisor to the nearest whole number.