X = approximately 633
Steps:
lnx + ln3x = 14
ln3x^2 = 14 : Use the log property of addition which is to multiply same log together so you multiply x and 3x because they have log in common
(ln3x^2) = (14) : take base of e on both sides to get rid of the log
e e
3x^2 = e^14 : e cancels out log on the left side and the right side is e^14
x^2 = e^14 / 3 : divide both sides by 3
√x^2 = <span>√(e^14 / 3) : take square root on both sides to get rid of the square 2 on x
</span>
x = √(e^14) / <span>√3 : square root cancels out square 2 leaving x by itself
x = e^7 / </span>√3 : simplify the √(e^14) so 14 (e^14) divide by 2 (square root) = 7<span>
x = </span>633.141449221 : solve
Answer:
x>-2
Step-by-step explanation:
x-4x<5x+16
Subtract 5x from both sides:
x-4x-5x<16
Combine like terms:
-8x<16
Divide both sides by 8:
-x<2
Divide both sides by -1:
x>-2
Hope this helps!
X = 2, y = -1 Answer = -1
x = 0, y = 2.5 Answer = -11.25
x = -1, y = -3 Answer = 14
x = 0.5, y = -0.1 (one tenths) Answer = 0.44
x = 0.75 (three quarters), y = 0.4 (two fifths) Answer = 1.665
x = 1.41 (sqareroot of 2), y = 1.41 (sqareroot of 2) Answer = 9.17
I hope this helps!
Answer:
The student assumed he was asked to factor
(a^2 - b^2)
Which is equal to
= (a+b)*(a-b) (His response)
But, he was asked to simplify
(a^2 + b^2)
Which has imaginary roots, and can be factored as:
(b +ai)(b-ai)
Answer:
the answer is 3/4
Step-by-step explanation:
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