Answer:
0.4077
Step-by-step explanation:
It's important to use parenthesis to avoid confusion.
9^(2x) = 6
Use exponent properties:
(9^2)^x = 6
81^x = 6
Take log of both sides
ln(81^x) = ln(6)
Use log properties:
x ln(81) = ln(6)
Solve for x:
x = ln(6) / ln(81)
x ≈ 0.4077
7/10 - 1/4 use common denominators
28/40 - 10/40 = 18/40 = 9/20
Answer:
Answer is √202 or 14.21267
Step-by-step explanation:
d^2=(4−(−7))2+(5−(−4))2
d^2=(11)2+(9)2√
d^2=121+81
d^2=2–√202
d= 12.21267
Rewrite the limit as
Then both numerator and denominator approach infinity (with different signs, but that's not important). Applying L'Hopital's rule, we get
Lol, I'm just answering that question right now. I haven't turned it in yet, but I believe the answer is true as all the sides of an equilateral triangle are equal.
