Answer:
See Below.
Step-by-step explanation:
We want to verify:
We will utilize the following identities:
And:
So, by substitution, we acquire:
Distribute:
The first and third term will cancel:
Combine like terms:
Y = log x / x
y ` = (( log x )` * x - (x)` * log x) / x²=
= (1/x * x - 1 * log x ) / x² =
= ( 1 - log x ) / x²
y ` = 0;
1 - log x = 0
log x = 1
x = e
The maximum value:
y max = log e / e = 1 / e
Answer:
That's an isosceles right trapezoid. The legs equal hypotenuse * (1 / sq root (2))
legs = 7 * 1 / sqroot (2)
Answer is D
Step-by-step explanation:
Answer: 10ˣ⁺² = x² + 5x - 18
Step-by-step explanation: The base of the log becomes the base of the power, the right side of the equation becomes the exponent, and the result in the original equation moves to the other side.
Notice that we aren't given a base, so we know that we are
dealing with a common log which has a base of 10.
