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Formula
Calculate the value
Find the value of the common log
$\log {\left( 16 \right)}$
$4 \log _{ 10 } { \left( 2 \right) }$
Calculate the value
$\log _{ 10 } { \left( \color{#FF6800}{ 16 } \right) }$
 Write the number in exponential form with base $2$
$\log _{ 10 } { \left( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \right) }$
$\log _{ \color{#FF6800}{ 10 } } { \left( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \right) }$
 Simplify the expression using $\log_{a}{b^{x}}=x\times\log_{a}{b}$
$\color{#FF6800}{ 4 } \log _{ \color{#FF6800}{ 10 } } { \left( \color{#FF6800}{ 2 } \right) }$
$1.2041$
Use the common log table to find the value in next
$\log _{ 10 } { \left( \color{#FF6800}{ 16 } \right) }$
 Rewrite in the scientific numeral system 
$\log _{ 10 } { \left( \color{#FF6800}{ 1.6 } \color{#FF6800}{ \times } \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ 1 } } \right) }$
$\log _{ \color{#FF6800}{ 10 } } { \left( \color{#FF6800}{ 1.6 } \color{#FF6800}{ \times } \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ 1 } } \right) }$
 Simplify the expression using $\log_{a}{x\times y}=\log_{a}{x}+\log_{a}{y}$
$\log _{ \color{#FF6800}{ 10 } } { \left( \color{#FF6800}{ 1.6 } \right) } \color{#FF6800}{ + } \log _{ \color{#FF6800}{ 10 } } { \left( \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ 1 } } \right) }$
$\log _{ \color{#FF6800}{ 10 } } { \left( \color{#FF6800}{ 1.6 } \right) } + \log _{ 10 } { \left( 10 ^ { 1 } \right) }$
 Find the value of $\log _{ 10 } { \left( 1.6 \right) }$ through the common log table 
$\color{#FF6800}{ 0.2041 } + \log _{ 10 } { \left( 10 ^ { 1 } \right) }$
$0.2041 + \log _{ \color{#FF6800}{ 10 } } { \left( \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ 1 } } \right) }$
 Simplify the expression using $\log_{a}{a^{x}}=x$
$0.2041 + \color{#FF6800}{ 1 }$
$\color{#FF6800}{ 0.2041 } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
 Add $0.2041$ and $1$
$\color{#FF6800}{ 1.2041 }$
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