The answer is 0.948
Enjoy your day/night!
Answer:
x = -13/9
Step-by-step explanation:
Solve for x over the real numbers:
8^(x - 3) = 16^(3 x + 1)
Hint: | Take logarithms of both sides to turn products into sums and powers into products.
Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):
3 log(2) (x - 3) = 4 log(2) (3 x + 1)
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by log(2):
3 (x - 3) = 4 (3 x + 1)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
3 x - 9 = 4 (3 x + 1)
Hint: | Write the linear polynomial on the right hand side in standard form.
Expand out terms of the right hand side:
3 x - 9 = 12 x + 4
Hint: | Isolate x to the left hand side.
Subtract 12 x - 9 from both sides:
-9 x = 13
Hint: | Solve for x.
Divide both sides by -9:
Answer: x = -13/9
Answer:
n must be 27
Step-by-step explanation:
Let this number be x. Then -6(n - 12) = -90.
Dividing both sides by -6 yields n - 12 = 15.
Add 12 to both sides.
Then n must be 27.
Check: subtract 12 from 27; this yields 15. Now multiply this result by -6. The result is -90, which was expected.
Well if the number is 100 dollars and it increases by four hundred percent it now costs 400 dollars. But if it was 100 dollars after the increase the original price was 25 dollars.
64
There are 6 options so it would be 2^6
If you don’t count the empty set it would be 63.
I’m pretty sure this is right I did it in my head so lmk if I’m wrong lol
