You can take the log of the left and right hand side, and then apply the <span>logarithm rules:
log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)
log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)
simplifying by writing log9 = 2log3 and log6 = log2+log3
x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) =
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)
So 6^x = 4/9
Answer:
1) 
=0.3571428571 2) Terminating
Step-by-step explanation:
1st. To answer this question let's divide with long division algorithm 5 and -14.
<u> 0.3571428571</u>
-14)50
42
---
80
-70
--
100
98
---
20
14
----
60
-56
---
40
28
--
120
-112
----
80
70
--
100
-98
--
2
5 (dividend) : -14 (divisor)
Long division (check below)
With the same two numbers -14 and 5 we can write in a Long Division
5) -14
<u> - 2.8</u>
5) -14
10
40
So 
2nd. Both are terminating ones for they have finite quantities of numbers. -2.8 and 0.3571428571, as we can see that these are rational numbers for they can be written as a/b, and b≠ 0.
form.
form.
Answer:
Circumference of circle = 87.92 centimeter
Step-by-step explanation:
In the given question;
Radius of circle = 14 centimeters
Value of π = 3.14
Find:
Circumference of circle
Computation:
⇒ Circumference of circle = 2πr
where r = Radius of circle
⇒ Circumference of circle = 2(3.14)(14)
⇒ Circumference of circle = (6.28)(14)
Circumference of circle = 87.92 centimeter
Answer:
f(X) 70x49
Step-by-step explanation:
Answer:
The answer is Plane P
Step-by-step explanation:
The reason for the answer is because a closed, two-dimensional or flat figure is called a plane shape. Different plane shapes have different attributes, such as the numbers of sides or corners. A side is a straight line that makes part of the shape, and a corner is where two sides meet.
