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Popular >

100=50e^{10x}

Solution

100 = 50 e^{10 x}

Solution

x = \frac{ln ( 2 )}{10}

+1

Decimal Notation

x = 0.06931 \dots

Solution steps

100 = 50 e^{10 x}

Switch sides

50 e^{10 x} = 100

Divide both sides by

50

e^{10 x} = 2

Apply exponent rules

10 x = ln (2)

Solve

10 x = ln (2) : x = \frac{ln ( 2 )}{10}

x = \frac{ln ( 2 )}{10}

Popular Examples

2^x+4^x+8^x=266304

2^{x} + 4^{x} + 8^{x} = 266304

solvefor x,1.08^x=10 solve for

x, 1.0 8^{x} = 10

1 0^{\frac{x}{5}} = 57

e^{x} - 2 e^{- 2 x} = 0

40 0^{x} = \frac{1}{20}

Frequently Asked Questions (FAQ)

What is the answer to 100=50e^{10x} ?
The answer to 100=50e^{10x} is x=(ln(2))/(10)