Answer:
ln(2) + 3ln(a) - 4ln (b)
Step-by-step explanation:
ln(2a^3 /b^4)
We know that ln(x/y) = ln (x) - ln y
ln(2a^3 ) - ln (b^4)
We know that ln (xy) = ln x + ln y
ln(2) + ln(a^3 ) - ln (b^4)
We know that ln(x^y) = y ln (x)
ln(2) + 3ln(a) - 4ln (b)
Simplifying
8 + 6t = 3t + t
Combine like terms: 3t + t = 4t
8 + 6t = 4t
Solving
8 + 6t = 4t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-4t' to each side of the equation.
8 + 6t + -4t = 4t + -4t
Combine like terms: 6t + -4t = 2t
8 + 2t = 4t + -4t
Combine like terms: 4t + -4t = 0
8 + 2t = 0
Add '-8' to each side of the equation.
8 + -8 + 2t = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 2t = 0 + -8
2t = 0 + -8
Combine like terms: 0 + -8 = -8
2t = -8
Divide each side by '2'.
t = -4
Simplifying
t = -4
Answer:
a) Similar triangles are triangles with the same shape but not necessarily the same size
b) 15/45 = 8/x
1/3 = 8/x (simplify the 15/45)
x = 8 * 3 (cross multiplication)
x = 24
c) y^2 = 15^2 + 8^2 (Pythagoras theorem)
y = *square root of* 15^2 + 8^2
y = 17
1/3 = 17/z
z = 17 * 3 (cross multiplication)
z = 51
