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
Answer:
SOLVE FOR X, Y
x=12
y=−6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Initial amount deposited in the certificate of deposit is $15000 This means that the principal so
P = 15000
It was compounded quarterly. This means that it was compounded 4 times in a year. So
n = 4
The rate at which the principal was compounded is 7.5%. So
r = 7.5/100 = 0.075
It was compounded for 2 years. So
t = 2
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 15000 (1+0.075/4)^4×2
A = 15000(1.01875)^8 = $17403
The interest would be
17403 - 15000 = $2403
15/(3+2)*11
By grouping the three and the two, they become five and since 15/5 is 3 and 3*11 is 33, it is now correct.
Answer:
450 pennies
Step-by-step explanation:
2/3 ➡ 3/3 × 2/3 = 6/9
let's call it 9x
the bank contains 6x after she removes 100 pennies 4x is left
which means 2x = 100 pennies and x = 50 pennies
therefore the bank can carry 50 × 9 = 450 pennies
