Question

place each item into an area labeled with its equivalent value. view available hint(s) log(10) log(0.01) log(100) log(0.1) log(1) -2 -1 0 1 2

Explanation:

Step1: Evaluate $\log(10)$

Recall $\log_{10}(10^x)=x$, so $\log(10)=\log_{10}(10^1)=1$

Step2: Evaluate $\log(0.01)$

Rewrite $0.01=10^{-2}$, so $\log(0.01)=\log_{10}(10^{-2})=-2$

Step3: Evaluate $\log(100)$

Rewrite $100=10^2$, so $\log(100)=\log_{10}(10^2)=2$

Step4: Evaluate $\log(0.1)$

Rewrite $0.1=10^{-1}$, so $\log(0.1)=\log_{10}(10^{-1})=-1$

Step5: Evaluate $\log(1)$

Rewrite $1=10^0$, so $\log(1)=\log_{10}(10^0)=0$

Answer:

-2: $\log(0.01)$
-1: $\log(0.1)$
0: $\log(1)$
1: $\log(10)$
2: $\log(100)$