Answer:
The solution is x = e⁶
Step-by-step explanation:
Hi there!
First, let´s write the equation
ln(x⁶) = 36
Apply logarithm property: ln(xᵃ) = a ln(x)
6 ln(x) = 36
Divide both sides of the equation by 6
ln(x) = 6
Apply e to both sides
e^(ln(x)) = e⁶
x = e⁶
The solution is x = e⁶
Let´s prove why e^(ln(x)) = x
Let´s consider this function:
y = e^(ln(x))
Apply ln to both sides of the equation
ln(y) = ln(e^(ln(x)))
Apply logarithm property: ln(xᵃ) = a ln(x)
ln(y) = ln(x) · ln(e) (ln(e) = 1)
ln(y) = ln(x)
Apply logarithm equality rule: if ln(a) = ln(b) then, a = b
y = x
Since y = e^(ln(x)), then x =e^(ln(x))
Have a nice day!
Answer:
19.4in
Step-by-step explanation:
1) formula for area of a triangle:
(b*h)/2=a
the area and height are already given so lets substitute them in the formula.
(b*23.8)/2=230.86
1) multiply by 2 on both sides
b*23.8=461.72
divide by 23.8 on both sides
b=19.4
the base is 19.4 in
hope this helps
Answer:
2. 12.08
3. 7.74
Step-by-step explanation:
a squared + b squared = c squared
2. 5 squared = 25, 11 squared = 121, 25 + 121 = 146, the squre root of 146 is 12.08
3.19 squared = 361, 421 - 361 = 60 60 squared = 7.74
Answer:
7.5
Step-by-step explanation:
1) You can start off by dividing 30 by 4
30/4
2) You should get 7.5
