Question

Solve 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+7y-7600=115,000..

Answer 1

To solve the equation, subtract 10^5 and 7600 from both sides and then divide both sides by 7.

Step-by-step explanation:

To solve the equation, we need to isolate the variable y. We can start by subtracting 10^5 and 7600 from both sides of the equation to get 7y = 115,000 - 10^5 - 7600.

Simplifying this, we have 7y = 5,000. To solve for y, divide both sides of the equation by 7.

Therefore, y = 5,000/7. This is the exact value of y in terms of common logarithms.

Approximately, y = 714.2857 when rounded to 4 decimal places.