On which number line do the points represent 49 and +3? R
T
0
HH
Holt +++ + ++
4 5 6 7 8 9 10
. 10 9 8 7
3
R
0
T
Holt
!
!
!
- 10 9 8 7 6
-5 4 3 2 1
0
1
2 3
4.5
5 6 7
8 9 10
O
Hot Hot
-
+
T
1
- 10 9 8 7
-6
-5 4 3 2 1
-2 -1 0 1
2
3 4
5
6 7 8 9 10
R
+
3.210 1 2 3 4 5 6 7 o 10
HH
-10 9 8 7 6 5 4

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places