Final answer:
To find the value of 16 raised to the power of log4 5, we can use the change of base formula and the logarithmic properties. After evaluating the logarithms, the result is approximately 19.862.
Step-by-step explanation:
In this question, we are asked to find the value of 16 raised to the power of log45. To solve this, we can use the logarithmic properties and the change of base formula. The change of base formula states that logba = logca / logcb.
So, we have log45 = log105 / log104. Using a calculator, we can find that log105 is approximately 0.699 and log104 is approximately 0.602. Therefore, log45 is approximately 0.699 / 0.602 = 1.161. Now, we can raise 16 to the power of 1.161, which gives us approximately 19.862.
Learn more about Logarithmic properties