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sarah224 sarah224
  • 07-06-2015
  • Mathematics
Answered

solve for x.

e^5x=50

Verified Answer :

Panoyin
Panoyin Panoyin
  • 08-06-2015

\(e^{5x} = 50 \\ln(e^{5x}) = ln(50) \\5xln(e) = ln(50) \\5x = ln(50) \\\frac{5x}{5} = \frac{ln(50)}{5} \\x = \frac{ln(25 * 2)}{5} \\x = \frac{ln(25) + ln(2)}{5} \\x = \frac{ln(5^{2}) + ln(2)}{5} \\x = \frac{2ln(5) + ln(2)}{5} \\x = \frac{2ln(5)}{5} + \frac{ln(2)}{5} \\x = \frac{2ln(5)}{5} + \frac{1}{5}ln(2)\)

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