Final answer:
To find the solution of the exponential equation 10^x = 25, we take the logarithm of both sides of the equation using base 10. The solution is x = 1.3979 (correct to four decimal places).
Step-by-step explanation:
To find the solution of the exponential equation 10^x = 25, we need to determine the value of x. To do this, we can take the logarithm of both sides of the equation. The logarithm base 10 (log10) can be used because the base of the exponential term is 10. Taking the logarithm of 25 with base 10 gives us log10(25). Using a calculator, we find that log10(25) is approximately 1.3979. Therefore, the solution to the equation 10^x = 25 is x = 1.3979 (correct to four decimal places).