Answer:
x = ln (33)
------------
3 ln (2)
Step-by-step explanation:
2 ^ (3x) = 33
Take the ln of each side
ln ( 2 ^ (3x)) = ln 33
We know ln ( a^b) = b ln a
3x ln (2) = ln 33
3x = ln 33
------------
ln 2
Divide each side by 3
x = ln (33)
------------
3 ln (2)
Answer:
The number of white horses is 52
Step-by-step explanation:
Let
x ----> the number of black horses
y ----> the number of white horses
we know that
----> equation A

----> equation B
Substitute equation B in equation A and solve for y

therefore
The number of white horses is 52
Answer:
1) x= -36.
2) x = 0.
Step-by-step explanation:
1) Taking the 3rd power to both sides and using the following exponent law:

we get:

So this tells us that x = -36.
2) We can distribute the power inside every term. So the left side becomes:

Now, the trick here is to remember that
, so replacing 1 with
, which then gives us:
, telling us that 3x = 0 and thus, x = 0.
Answer:
B
Step-by-step explanation: