Answer:
x = -1/2
Step-by-step explanation:
This question can be solved by applying the laws of indices
In a^n, a - base
n - index
Given
9^x = 1/3
According to the laws of indices, a/b = b^(-a)
Hence we can write, 1/3 = 3^(-1)
9^x = 3^(2x)
Again according to the laws of indices,
a^b = a^n can be written as;
b = n
That is, if in an equation the bases are the same, the indices are also equal.
So we can write,
3^(2x) = 3^(-1)
2x = -1
Divide both sides of the equation by 2, the coefficient of x
2x/2 = -1/2
x = -1/2
4*2=8, 4-2=2, 2*9=18, 18+8= 26
26 is the answer
Answer:
- 96
- 6.9
- 25%
- 8%
- 79
- 33.8
Step-by-step explanation:
Here is the complete question: Find each number. Round to the nearest tenth if necessary.
- 80% of 120.
- 115% of 6
- What percent of 128 is 32?
- 3 is what percent of 36?
- 23.7 is 30% of what number?
- 71/2% of what is 12?
1) 80% of 120
= 
= 96
∴ 80% of 120= 96
2) 
=
∴
= 6.9
3) What percent of 128 is 32?
= 
= 
4) 3 is what percent of 36?
= 
= 
5) 23.7 is 30% of what number?
Let the number be "x".
⇒ 
Cross multiplying
⇒ 
∴ x= 79.
6) 71/2% of what is 12?
Lets assume the required number be "x".
⇒ 
cross multiplying both side.
⇒x= 33.8
∴ 71/2% of 33.8 is 12
True, because "or" is a logical sum.
true = 1
false = 0,
sum (1+0) = 1, true.