Respuesta :
Answer:
1.) If you substitute the number 2 for x in the problem, you’ll make it true.
6x + 8x = 10x
62 + 82 = 102
36 + 64 = 100
100 = 100
2.) Insert two radical signs into the problem like this to make it true:
5 = 5 √4 + √4 + 4⁄4
5 = 2 + 2 + 1
5 = 5
3.) a. 42 = 4 × 4 = 16
b. 62 = 6 × 6 = 36
c. 132 = 13 × 13 = 169
d. 102 = 10 × 10 = 100
4.) a. 13 = 1 × 1 × 1 = 1
b. 23 = 2 × 2 × 2 = 8
c. 43 = 4 × 4 × 4 = 64
d. 83 = 8 × 8 × 8 = 512
5.) a. 2 × 2
b. 8 × 8 × 8 × 8
c. 12 × 12 × 12
d. 20 × 20 × 20 × 20 × 20
6.) a. 52
b. 74
c. 23
d. 95
7.) a. 33 = 3 × 3 × 3 = 27
b. 142 = 14 × 14 = 196
c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832
d. 90 = 1 (Any number to the zero power equals 1.)
e. 44 = 4 × 4 × 4 × 4 = 256
f. 171 = 17 (Any number to the first power equals itself.)
8.) a. 7.6 × 103
(103 = 1,000 and 7.6 × 1,000 = 7,600)
b. 2.34 × 104
(104 = 10,000 and 2.34 × 10,000 = 23,400)
c. 1.67 × 105
(105 = 100,000 and 1.67 × 100,000 = 167,000)
d. 2 × 109
(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)
9.) a. 97,000
(9.7 × 10 × 10 × 10 × 10 = 97,000)
b. 700,000
(7 × 10 × 10 × 10 × 10 × 10 = 700,000)
c. 89,700,000
(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)
d. 32,000,000,000
(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)
10.) a. 4 (4 × 4 = 16)
b. 13 (13 × 13 = 169)
c. 8 (8 × 8 = 64)
d. 20 (20 × 20 = 400).
Step-by-step explanation:
answers are from Penn Foster
For finding the value of X is Zero to make 6ˣ + 8ˣ= 10ˣ using exponential equation.
What is problem-solving?
Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
What is exponential equation ?
Exponential equations are equations wherein variables arise as exponents. as an example, exponential equations are within the shape ax=by means of . To resolve exponential equations with equal base, use the assets of equality of exponential functions
The definition of a linear equation is an algebraic equation wherein every time period has an exponent of 1 and the graphing of the equation results in a immediately line. An example of linear equation is y=mx + b
Nonlinear equations are equations that seem as curved traces when you graph them. If the differences among the outputs of the equation are inconsistent while you use unknown variables, then the equation is nonlinear. Nonlinear equations can take many shapes, from simple curves to complex image
Explaination:-
Left hand side should be equal to the roght hand side
LHS = RHS
6ˣ + 8ˣ = 10ˣ
14ˣ = 10ˣ (to make base equal X most be zero)
14° = 10° = 0
1 = 1
Therefore X = 0
Learn more about exponential equation here:-https://brainly.com/question/2456547
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