Solve 10^6x = 93. Round to the nearest ten-thousandth.
To solve for x, first take the natural logarithm of both sides:
ln(10^6x) = ln(93)
6x ln(10) = ln(93)
6x = ln(93) (since ln(10) = 1)
x = ln(93) / 6
Now, plug ln(93) into a calculator and divide by 6 to get:
x ≈ 0.238341
Rounded to the nearest ten-thousandth, x ≈ 0.2383.