Questions: Evaluate or simplify the expression without using a calculator. 10^(log 6)

Solution Steps

To evaluate the expression \(10^{\log 6}\), we can use the property of logarithms that states \(a^{\log_a b} = b\). In this case, since the base of the logarithm and the base of the exponent are the same (both are 10), the expression simplifies directly to 6.

We start with the expression \(10^{\log 6}\). Using the property of logarithms, we know that \(a^{\log_a b} = b\). Here, both the base of the logarithm and the base of the exponent are 10, so we can simplify the expression directly to:

\[ 10^{\log 6} = 6 \]

Final Answer