SOLUTION: Hi there, Can you please help me with this problem? e^(2x + 6) - 8 = 0 Solve for x. Thank you so much. Megan

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hi there, Can you please help me with this problem? e^(2x + 6) - 8 = 0 Solve for x. Thank you so much. Megan      Log On


   

Question 403246: Hi there,
Can you please help me with this problem?
e^(2x + 6) - 8 = 0
Solve for x.
Thank you so much.
Megan
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
e%5E%282x+%2B+6%29+-+8+=+0+
e%5E%282x+%2B+6%29++=+8+ take logarithm of both sides of the equation
ln%28e%5E%282x+%2B+6%29%29++=+ln8+
2x+%2B+6++=+ln8+
2x+=+ln8-6+
x+=+%28ln8-6%29%2F2+
x+=+ln8%2F2-3+
x+=+-1.96+