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Popular >

16=16e^{34x}+5

Solution

16 = 16 e^{34 x} + 5

Solution

x = \frac{ln ( \frac{11}{16} )}{34}

+1

Solution steps

16 = 16 e^{34 x} + 5

Switch sides

16 e^{34 x} + 5 = 16

Move

5

to the right side

16 e^{34 x} = 11

Divide both sides by

16

e^{34 x} = \frac{11}{16}

Apply exponent rules

34 x = ln (\frac{11}{16})

Solve

34 x = ln (\frac{11}{16}) : x = \frac{ln ( \frac{11}{16} )}{34}

x = \frac{ln ( \frac{11}{16} )}{34}

Popular Examples

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2^{3 x - 4} = (\frac{1}{16})^{3}

350=400*(1-e^{-0.15t})

350 = 400 \cdot (1 - e^{- 0.15 t})

9^{0.5m}*9^{2m}=9^{2.5m}

9^{0.5 m} \cdot 9^{2 m} = 9^{2.5 m}

Frequently Asked Questions (FAQ)

What is the answer to 16=16e^{34x}+5 ?
The answer to 16=16e^{34x}+5 is x=(ln(11/16))/(34)