Want to use some of the algebra rules of log's:
log(a)-log(b)= log(a/b),
so log(P/N) - log(M/N) = log( P/N:M/N) = log(P/M),
Then: 8-5 = log(P/M), log(P/M)=3.
If log here means natural logarithm (base e), then P/M = e^3,
If log here means basis 10, decimal logarithm, then P/M = 10^3 = 1000.
Answer: 173.82cm^2
Step-by-step explanation:
Jason will be 36 and joan will be 27 years old.
X + y = 15
Rearrange this to isolate for x.
x = 15 - y
x + z = 20
Rearrange this to isolate for x also.
x = 20 - z
Since they are both equal to x, that means they are equal to each other (x = x)
Set them equal to each other.
15 - y = 20 - z
Now, isolate for y.
y = 15 - 20 + z
Now, use y + z = 25 and isolate for y.
y = 25 - z
Since they are both equal to y, we set them equal to each other.
15 - 20 + z = 25 - z
Solve for z
z + z = 25 - 15 + 20
2z = 30
2z/2 = 30/z
z = 15
Now you can plug the value for z into the other equations to find y and x.
x + z = 20
x +15 = 20
x = 20-15
x = 5
y + z = 25
y + 15 = 25
y = 25 - 15
y = 10