You can use the definition of logarithm to evaluate x and get the solution of the given equation.
The solution to the given equation is given by: Option A: x= -3
<h3>What is the definition of logarithm?</h3>
If a raised to power b equates to c, then we can say that logarithm of c with base a is b.
Or symbolically:
<h3>How to use definition of logarithm to solve the given equation?</h3>
We can reverse the definition of log to get back to representation in powers.
Thus,
I used the fact that
Thus, the solution of given equation is given by Option A: x = -3
Learn more about logarithm here:
brainly.com/question/14247920
Answer: i need points lol
Step-by-step explanation:
Answer:
Equation 3
Step-by-step explanation:
An identity is, simply put, an equation that is always true. 1 = 1, 2 = 2, and x = x are all examples of identities, as there's no case in which 1 ≠ 1, 2 ≠ 2, and x ≠ x. Essentially, if we can manipulate and equation so that we end up with the same value on either side, we've found an identity. Let's run through and try to solve each of these equations to see which one fulfills that condition:
8 - (6v + 7) = -6v - 1
8 - 6v - 7 = -6v - 1
1 - 6v = -6v - 1
1 = -1
This is clearly untrue. Moving on to the next equation:
5y + 5 = 5y - 6
5 = -6
Untrue again. Solving the third:
3w + 8 - w = 4w - 2(w - 4)
2w + 8 = 4w - 2w + 8
2w + 8 = 2w + 8
If we created a new variable z = 2w + 8, we could rewrite this equation as
z = z, <em>which is always true</em>. We can stop here, as we've now found that equation 3 is an identity.
4x - 5y = 3
x = 3 - 1/2y
4(3 - 1/2y) - 5y = 3
12 - 2y - 5y = 3
12 - 7y = 3
7y = 12 - 3
7y = 9
y = 9/7
x = 3 - 1/2y
x = 3 - 1/2*9/7
x = 3 - 9/14
x = 42/14 - 9/14
x = 33/14
The correct answer is C. 33/14.