The possible solution to the equation given is 3 and -1/3
<h3>Laws of logarithm</h3>
Given the logarithmic expression given as:
log,(8x) – log,(x^2 - 1) = log, 3
Applying the product and quotient rule will give:
log(8x/x^2-1) = log3
8x/x^2-1 = 3
Cross multiply
8x = 3x^2 - 3
3x^2 - 8x - 3 = 0
3x^2 -9x + x - 3 = 0
3x(x-3)+1(x-3)
x - 3 = 0 and 3x = -1
x = 3 and -1/3
Hence the possible solution to the equation given is 3 and -1/3
Learn more on logarithm here: brainly.com/question/25710806
Substitution:
6y + 5x = 8
x + 3y = -7
x = -3y + 7
6y + 5(-3y + 7) = 8
6y - 15y + 35 = 8
-9y + 35 = 8
-9y = -27
-y = -3
y = 3
x = -7 + 9
x = 2
y = 3
x = 2
Please send picture of the problem, so I can show you how to do it.
Use a system of equations to solve this problem. Let "x" represent the number of classic cars, and "c" represent the number of cars.
320 = x + c
x = 4c
In this case, it'll be easiest to use the substitution method to solve the system of equations.
320 = (4c) + c
320 = 5c
Now solve for "c":
320/5 = c
c = 64
Since you now know there are 64 regular cars, you can subtract that from the total amount for the number of classic cars.
320 - 64 = 256
There are 256 classic cars.
To check the answer, multiply 64 by 4 and make sure it equals 256.
64 x 4 = 256
