SOLUTION: Express y as a function of x (The constant c is a positive number): ln(y+4) = 5x + ln(c)

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Question 573964: Express y as a function of x (The constant c is a positive number):
ln(y+4) = 5x + ln(c)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
To express y as a function of x we just have to "solve for y". To do this we need to get the y out of the logarithm. To do that we need to rewrite the equation in exponential form.

In general
log%28a%2C+%28p%29%29+=+q is equivalent to:
a%5Eq+=+p
Using
  • this pattern with the "p" being "y+4" and the "q" being "5x+ln(c)"
  • the fact that the base of ln is e, making the "a" an "e"
we get (hold on!):
e%5E%285x+%2B+ln%28c%29%29+=+y+%2B+4
Now we just need to subtract 4 from each side:
e%5E%285x+%2B+ln%28c%29%29+-+4+=+y
We now have y as a function of x!