SOLUTION: Solve for y: e^(1/2y-8)=2x+7

Algebra.Com
Question 293656: Solve for y:
e^(1/2y-8)=2x+7

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve for y:
e^(1/2y-8)=2x+7
---
Take the natural log of both sides:
---
When you take the ln of the left side you get the exponent of "e"
becasuse that is what ln means; it means "the exponent of e that
gives you the left side"---that exponent is (1/2)(y-8).
---
In general ln(e^x) = x
---------------------------------------
(1/2)y-8 = ln(2x+7)
---
(1/2)y = ln(2x+7)+8
y = 2ln(2x+7) + 16
========================
Cheers,
Stan H.

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