Answer: 3
Step-by-step explanation: double the 5 and the 4(to have the same denominator as the 8)
Answer:
Log [x^2 / yz^2]
Step-by-step explanation:
2log(x) =log(x^2)
-log(y) = The minus sign means that you can divide it by first log(x^2)
-2log(z) =log(z^2), and the minus sign again means you can divide it by the first log(x^2)
So, the whole thing can be written like this:
Log(x^2) / [log(y)*log(z^2)], OR:
Log [x^2 / yz^2]
Let's have the first number, the larger number, be <em>x</em>. We'll have the second, smaller number be <em>y</em>.
We know that x = y + 6, since x is 6 greater than y.
We also know that 330 = x + y.
Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.
Now all we need to do is simplify the equation. First, we subtract 6 from both sides:
330 - 6 = 324
2y + 6 - 6 = 2y.
So we have 324 = 2y. Then we divide both sides by 2 to get:
162 = y
Plug in y = 162 into the equation x = y + 6 to get:
x = 162 + 6
x = 168
Let's check to make sure our answer is right. 168 is 6 more than 162. 162 + 168 equals 330. So our two numbers are 168 and 162.
"log" standing alone actually means "logarithm to the base 10."
Thus, y = log x <=> y = log x
10
y
Stated another way (inverse functions), x = 10
