Answer:
x = 2
Step-by-step explanation:
Taking antilogs, you have ...
2³ × 8 = (4x)²
64 = 16x²
x = √(64/16) = √4
x = 2 . . . . . . . . (the negative square root is not a solution)
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You can also work more directly with the logs, if you like.
3·ln(2) +ln(2³) = 2ln(2²x) . . . . . . . . . . . write 4 and 8 as powers of 2
3·ln(2) +3·ln(2) = 2(2·ln(2) +ln(x)) . . . . use rules of logs to move exponents
6·ln(2) = 4·ln(2) +2·ln(x) . . . . . . . . . . . . simplify
2·ln(2) = 2·ln(x) . . . . . . . . . . . subtract 4ln(2)
ln(2) = ln(x) . . . . . . . . . . . . . . divide by 2
2 = x . . . . . . . . . . . . . . . . . . . take the antilogs
Answer:
970,200
Step-by-step explanation:
In a 100 man race, how many runners have the chance to finish first?
Answer 100.
Now that 1 person is first, how many runners could be second? Well, there are still 99 runners left, and any one of them could be second.
Answer 99.
How many can be third? Using the same idea as above, once one person is first and another is second, that leaves 98 people still running and trying for third. So how many can be in third?
Answer 98.
Now you need to do the math.
100 × 99 × 98 = 970,200
So there are 970,200 different ways.
Hope this helps!! Brainliest :) ?
Answer:
f(x)= (x+8)^2 + 200
Step-by-step explanation:
-b/2a gives you the x coordinate of the vertex and then plug it in for x to get the y coordinate. Put it in the formula (f()x= (x-h)^2 +k).
H is the x coordinate and K is the y coordinate
1.875 cups of flour ... add snap naomi_ful
Answer: Turn on the lights
