Math  /  Algebra

QuestionSolve the equation. Write the solution set with the exact values given in terms of common or natural logarithms. Also give approximate solutions to 4 decimal places. 105+2y+8500=94,00010^{5+2 y}+8500=94,000 There is no solution, }\}. The exact solution set is \square
log\log log\square{ }^{\circ l o g}

Studdy Solution
Calculate the approximate solution to four decimal places using a calculator:
First, compute log(85,500)\log(85,500):
log(85,500)4.9318 \log(85,500) \approx 4.9318
Then substitute back to find y y :
y=4.931852 y = \frac{4.9318 - 5}{2} y0.06822 y \approx \frac{-0.0682}{2} y0.0341 y \approx -0.0341
The exact solution set is:
{log(85,500)52} \left\{ \frac{\log(85,500) - 5}{2} \right\}
The approximate solution to four decimal places is:
y0.0341 y \approx -0.0341

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