Solve. Simplify your answer. \( 10 \log z=10 \) \( z= \) Submit

To isolate \( z \), divide both sides of the equation by 10: \[ \log z = 1 \] Next, to rewrite the logarithmic equation in exponential form, we get: \[ z = 10^1 = 10 \] So the solution is: \( z = 10 \) For a fun fact, did you know that logarithms were invented in the early 17th century by John Napier to simplify calculations? They were especially useful before calculators, effectively turning multiplication and division into addition and subtraction! In real-world applications, logarithms appear in various fields like music (the decibel scale for sound intensity), finance (calculating compound interest), and even in measuring the pH level of solutions. How fascinating that such a simple mathematical concept has such wide-ranging impact!