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Popular >

1050=480e^{7r}

Solution

1050 = 480 e^{7 r}

Solution

r = \frac{ln ( \frac{35}{16} )}{7}

+1

Decimal Notation

r = 0.11182 \dots

Solution steps

1050 = 480 e^{7 r}

Switch sides

480 e^{7 r} = 1050

Divide both sides by

480

e^{7 r} = \frac{35}{16}

Apply exponent rules

7 r = ln (\frac{35}{16})

Solve

7 r = ln (\frac{35}{16}) : r = \frac{ln ( \frac{35}{16} )}{7}

r = \frac{ln ( \frac{35}{16} )}{7}

Popular Examples

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5^{x} + 5^{x + 1} - \frac{6}{25} = 0

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2^{x + 1} + 2^{x} + 2^{x - 1} = 14

7^{x} = 4

6(6^{2x})-37(6^x)+6=0

6 (6^{2 x}) - 37 (6^{x}) + 6 = 0

e^{2 x} = 3 e^{x}

Frequently Asked Questions (FAQ)

What is the answer to 1050=480e^{7r} ?
The answer to 1050=480e^{7r} is r=(ln(35/16))/7