Answer: flog6e
Step-by-step explanation:
The power property of logarithm rule is :
Logamn = nlogaM
Applying the logarithm of power rule in the given expression we have:
Log6eF= flog6e
The second option that is flog6e is the right option among all the given options.
A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
6(5 - 2x) + 12 = -66
Step 2: Solve for <em>x</em>
- Distribute 6: 30 - 12x + 12 = -66
- Combine like terms: 42 - 12x = -66
- Subtract 42 on both sides: -12x = -108
- Divide both sides by -12: x = 9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
6(5 - 2(9)) + 12 = -66
6(5 - 18) + 12 = -66
6(-13) + 12 = -66
-78 + 12 = -66
-66 = -66
Answer:
y-8+8
Step-by-step explanation:
