SOLUTION: If ln( 5 x + 3 )= 5 , then x =

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Question 977566: If ln( 5 x + 3 )= 5 , then x =
Found 2 solutions by AnlytcPhil, Cromlix:
Answer by AnlytcPhil(1810) About Me  (Show Source):
You can put this solution on YOUR website!
+ln%28+5+x+%2B+3+%29%22%22=%22%225

Use the fact that equal powers of the same base are equal,
using base e:

e%5E%28ln%28+5+x+%2B+3%29+%29%22%22=%22%22e%5E5

Use the fact that e%5E%28ln%28A%29%29=A

5x%2B3%22%22=%22%22e%5E5

5x%22%22=%22%22e%5E5-3

x%22%22=%22%22%28e%5E5-3%29%2F5

x is approximately 29.08263182

Edwin

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
ln(5x + 3) = 5
5x + 3 = e^5
5x + 3 = 148.4
5x = 148.4 - 3
5x = 145.4
x = 29.1 (1 decimal place)
Hope this helps:-)