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Popular >

10e^{2n-10}-5=73

Solution

10 e^{2 n - 10} - 5 = 73

Solution

n = \frac{ln ( \frac{39}{5} ) + 10}{2}

+1

Solution steps

10 e^{2 n - 10} - 5 = 73

Move

5

to the right side

10 e^{2 n - 10} = 78

Divide both sides by

10

e^{2 n - 10} = \frac{39}{5}

Apply exponent rules

2 n - 10 = ln (\frac{39}{5})

Solve

2 n - 10 = ln (\frac{39}{5}) : n = \frac{ln ( \frac{39}{5} ) + 10}{2}

n = \frac{ln ( \frac{39}{5} ) + 10}{2}

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Frequently Asked Questions (FAQ)

What is the answer to 10e^{2n-10}-5=73 ?
The answer to 10e^{2n-10}-5=73 is n=(ln(39/5)+10)/2