Answer:
70
Step-by-step explanation:
140=2x
divide by 2
x=70
The logarithmic form of 13² = 169 is ㏒₁₃ 169 = 2
<h3>How to determine the logarithmic form</h3>
Using the logarithmic rule , we have that
㏒ₙn = bⁿ
Given 13² = 169
It is important to note that it can be written either in the logarithmic form or in the index form.
In this case, we have written in the index form as .
㏒₁₃ 169 = 2
Thus, the logarithmic form of 13² = 169 is ㏒₁₃ 169 = 2
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The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3
Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6
We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542
Based on the above calculations, the four numbers are:
542, 543, 544 and 555
Answer:
y = 36 and x = 10
Step-by-step explanation:
y/x = 24/6 = 4. Thus y = 4x and x =y/4
For x = 6, y = 9 × 4 = 36.
For y = 40, x = 40/4 = 10.