Question

Answer asap Solve the exponential equation for x using logarithms. Round your answer to the nearest ten-thousandths (fourth decimal place). SHOW ALL WORK
e^8x=512

Answer 1

9514 1404 393

Answer:

  x ≈ 0.7798

Step-by-step explanation:

For this to be an exponential function, the variable needs to be in the exponent. That is, parentheses are needed.

  e^(8x) = 512

  8x = ln(512) . . . . . take the natural log

  x = ln(512)/8 ≈ 0.7798