Problem 85
Question
Evaluate or simplify each expression without using a calculator. $$10^{\log 33}$$
Step-by-Step Solution
Verified Answer
The simplification of the given expression \(10^{\log 33}\) is 33.
1Step 1: Identify the base of the logarithm and the exponent.
The base for both the exponential and the logarithm is 10. And x in our case is 33.
2Step 2: Apply the property of logarithms.
The property of logarithms states that \(b^{\log_b x} = x\). Thus, \(10^{\log 33} = 33\)
Other exercises in this chapter
Problem 84
Solve each logarithmic equation. Be sure to reject any value of \(x\) that is not in the domain of the original logarithmic expressions. Give the exact answer.
View solution Problem 85
Graph \(x+2 y=2\) and \(x-2 y=6\) in the same rectangular coordinate system. At what point do the graphs intersect? $$ \text { Solve: } 5(2 x-3)-4 x=9 $$
View solution Problem 85
Let \(\log _{b} 2=A\) and \(\log _{b} 3=C .\) Write each expression in terms of \(A\) and \(C\). \(\log _{b} 8\)
View solution Problem 86
Evaluate or simplify each expression without using a calculator. $$10^{\log 53}$$
View solution