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Popular >

12=10e^{0.01t}

Solution

12 = 10 e^{0.01 t}

Solution

t = \frac{ln ( \frac{6}{5} )}{0.01}

+1

Decimal Notation

t = 18.23215 \dots

Solution steps

12 = 10 e^{0.01 t}

Switch sides

10 e^{0.01 t} = 12

Divide both sides by

10

e^{0.01 t} = \frac{6}{5}

Apply exponent rules

0.01 t = ln (\frac{6}{5})

Solve

0.01 t = ln (\frac{6}{5}) : t = \frac{ln ( \frac{6}{5} )}{0.01}

t = \frac{ln ( \frac{6}{5} )}{0.01}

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4^{2 x - 3} + 1 6^{x - 1} = \frac{5}{64}

5^{2x}-26(5^x)+25=0

5^{2 x} - 26 (5^{x}) + 25 = 0

4^{x + 7} = 256

2(3^{2x})+3^x-15=0

2 (3^{2 x}) + 3^{x} - 15 = 0

Frequently Asked Questions (FAQ)

What is the answer to 12=10e^{0.01t} ?
The answer to 12=10e^{0.01t} is t=(ln(6/5))/(0.01)