Let f(x) = log(x). Find values of a such that f(3a) = 3f(a).
1 answer:
Answer:
a = 1.7318
Step-by-step explanation:
Given function in the question f(x) = log(x)
also,
f(3a) = 3f(a)
To find: the value of 'a'
now,
f(3a) = 3f(a)
⇒ log(3a) = 3 × log(a)
now,
we know the property of the log function that
log(AB) = log(A) + log(B)
therefore,
⇒ log(3) + log(a) = 3 × log(a)
or
⇒ log(3) = 3 × log(a) - log(a)
or
⇒ 2log(a) = log(3)
now,
log(3) = 0.4771
thus,
⇒ 2log(a) = 0.4771
or
log(a) = 0.2385
taking anti-log both sides, we get
a =
or
a = 1.7318
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Answer:
The solution to the system of linear equations is (1,9).
Step-by-step explanation:
The given system of linear equations
... (1)
.... (2)
Subtract equation (2) from equation (1) to eliminate y.
On combining like terms, we get
Add 8 on both sides.
Divide both sides by 8.
The value of x is 1.
Substitute x=1 in equation (1).
The value of y is 9.
Therefore the solution to the system of linear equations is (1,9).