Answer:
x = 1/2 and 3/2
Step-by-step explanation:
The given equation is logₓ (8x-3) - logₓ 4 = 2
Then we have to determine the value of x.
logₓ ![[\frac{(8x-3)}{4}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%288x-3%29%7D%7B4%7D%5D)
= 2 [ since log a - log b = log 
]
Now 
[if 
b = c then 
= b]
4x² = 8x -3
4x² - 8x + 3 = 0
(2x)² - 2(4x) + (4-4) + 3 = 0
[(2x)² - 2 (4x) + 4 ] - 1 = 0
(2x - 2)² = 1
(2x - 2)² = ± 1 ⇒
2x - 2 = 1 and 2x - 2 = -1
x = 3/2 2x = 1
x = 1/2
Therefore, x = 1/2 and 3/2 are the answers.
Answer: 2. 9x.8y / 3.9,8,2
Hope it helps
Step-by-step explanation
Step-by-step explanation:
step 1. let's call the balance A, the initial amount P, the yearly rate r, the number of compounds yearly n, and the time t.
step 2. A = P(1 + r/n)^(nt) (compounding equation)
step 3. A = 8500(1 + .0178/12)^((12)(10))
step 4. A = 8500(1.00148334)^120
step 5. A = $10,154.68.
First set up an equation in n:-
3n + 10 = 8n
add -3n to both sides;-
10 = 5n
Answer:
Step-by-step explanation:
The number of customers carrying cash=45% = 0.45
The number of customers carrying checks= 44% =0.44
The number of customers carrying both = 31% = 0.31
So,
To find the probability we will write the expression:
cash+checks-cash or checks(both)=cash and checks
0.45+0.44-both=0.31
0.45+0.44-0.31=both
0.58=both....
