Solve algebraically showing all steps.

Question

8+10^9x=1008

Answer 1

To solve this equation algebraically, we need to isolate the variable x.

First, subtract 8 from both sides of the equation:

10^9x = 1000

Next, take the natural log of both sides of the equation to eliminate the exponent:

ln(10^9x) = ln(1000)
9x ln(10) = ln(1000)
9x = ln(1000)

Now, divide both sides by 9 to solve for x:

x = ln(1000) / 9

x = 2.3026 / 9

x ≈ 0.2569

Therefore, the solution to the equation 8 + 10^9x = 1008 is x ≈ 0.2569.