Final answer:
To evaluate log((8)/(5))^x, substitute the value of log((8)/(5)) = 2.974972 and simplify the expression to 2.974972x.
Step-by-step explanation:
To evaluate the logarithm log((8)/(5))^x, we can use the property of logarithms that states the logarithm of a number raised to a power is equal to the power multiplied by the logarithm of the number. In this case, we have x * log((8)/(5)). Substituting the value of log((8)/(5)) = 2.974972, the expression becomes x * 2.974972. This can be simplified to 2.974972x.