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Popular >

e^x+16e^{-x}=10

Solution

e^{x} + 16 e^{- x} = 10

Solution

x = 3 ln (2), x = ln (2)

+1

Decimal Notation

x = 2.07944 \dots, x = 0.69314 \dots

Solution steps

e^{x} + 16 e^{- x} = 10

Apply exponent rules

e^{x} + 16 (e^{x})^{- 1} = 10

Rewrite the equation with

e^{x} = u

u + 16 (u)^{- 1} = 10

Solve

u + 16 u^{- 1} = 10 : u = 8, u = 2

u = 8, u = 2

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 8 : x = 3 ln (2)

Solve

e^{x} = 2 : x = ln (2)

x = 3 ln (2), x = ln (2)

Popular Examples

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x, 6^{x - 9} = 9

200=(500)/(1+3^{3-t)}

200 = \frac{500}{1 + 3 ^{3 - t}}

2^{2x}+3*2^x-4=0

2^{2 x} + 3 \cdot 2^{x} - 4 = 0

(0.892e^{0.0091(x)})=0

(0.892 e^{0.0091 (x)}) = 0

solvefor x,3^x-2^y=1 solve for

x, 3^{x} - 2^{y} = 1

Frequently Asked Questions (FAQ)

What is the answer to e^x+16e^{-x}=10 ?
The answer to e^x+16e^{-x}=10 is x=3ln(2),x=ln(2)