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solve for x.
e^5x=50

Sagot :

Panoyinidn
[tex]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)[/tex]
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