hishamdubas hishamdubas
  • 17-04-2019
  • Mathematics
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Simplify the expression. #22

Simplify the expression 22 class=

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JDcap
JDcap JDcap
  • 17-04-2019

Answer:

[tex]10^{\log 9}=9[/tex]

Step-by-step explanation:

It's a logarithm property:

[tex]x^{\log_x{a}}=a[/tex]

However, we can use a procedure like this:

[tex]10^{\log 9}\\\Rightarrow y=10^{\log 9}\;\;\;\;\;\;\;\;\;\text{Apply }\log\text{  to both sides}\\\log{y}=\log{10^{\log 9}}\;\;\;\;\;\;\;\;\;\text{Apply log property}\\\log{y}=\log 9\cdot\log{10}\;\;\;\;\;\;\;\;\;\text{Apply log property}\\\log{y}=\log 9\cdot1\\\log{y}=\log 9\\\\\Longrightarrow\boxed{y=9}[/tex]

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