Math  /  Algebra

Questionb. ex7=10000e^{x-7}=10000

Studdy Solution
Solve for x x by adding 7 to both sides:
x7=ln(10000) x - 7 = \ln(10000) x=ln(10000)+7 x = \ln(10000) + 7
The value of x x is:
x=ln(10000)+7 x = \ln(10000) + 7
To find the numerical value, calculate ln(10000)\ln(10000):
ln(10000)=ln(104)=4ln(10)4×2.302=9.208 \ln(10000) = \ln(10^4) = 4 \ln(10) \approx 4 \times 2.302 = 9.208
Thus,
x9.208+7=16.208 x \approx 9.208 + 7 = 16.208
The approximate value of x x is:
16.208 \boxed{16.208}

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