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Solving Exponential Equation

  • Thread starter nineaxe
  • Start date
  • #1
1
0

Homework Statement




3^x + x = 4

solve for x.

Homework Equations



I'm thinking of using the logarithm laws. log(a.b) = log a + logb log(a/b) = log a - log b

log(a^b) = bloga



The Attempt at a Solution


Well if I isolate the exponential
3^x = 4-x

take logs on both sides

xlog3 = log(4-x)

I can't seem to get the x out of the log.
 

Answers and Replies

  • #2
Cyosis
Homework Helper
1,495
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You won't be able to find a solution algebraically. However the value for x is quite obvious. Take a good look at the equation in its original form.
 

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