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Popular >

8.29=10*e^{-(10)/x}

Solution

8.29 = 10 \cdot e^{- \frac{10}{x}}

Solution

x = - \frac{10}{ln ( 0.829 )}

+1

Decimal Notation

x = 53.32334 \dots

Solution steps

8.29 = 10 e^{- \frac{10}{x}}

Switch sides

10 e^{- \frac{10}{x}} = 8.29

Divide both sides by

10

e^{- \frac{10}{x}} = 0.829

Apply exponent rules

- \frac{10}{x} = ln (0.829)

Solve

- \frac{10}{x} = ln (0.829) : x = - \frac{10}{ln ( 0.829 )}

x = - \frac{10}{ln ( 0.829 )}

Popular Examples

4 9^{x} + 4 9^{- x} = 7

3^{a} = 1

x^{log_{10}(x)}=10^9

x^{l o g_{10} (x)} = 1 0^{9}

ln(3^x-10)=ln(-8)

ln (3^{x} - 10) = ln (- 8)

6000(1.05)^t=5500e^{0.0495t}

6000 (1.05)^{t} = 5500 e^{0.0495 t}

Frequently Asked Questions (FAQ)

What is the answer to 8.29=10*e^{-(10)/x} ?
The answer to 8.29=10*e^{-(10)/x} is x=-(10)/(ln(0.829))