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Formula
Solve the equation
Answer
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$27 ^{ 3 } \div 3 ^{ b } = 9 ^{ 3 }$
$b = 3$
Solve the equation
$\color{#FF6800}{ 27 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \div } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ b } } = \color{#FF6800}{ 9 } ^ { \color{#FF6800}{ 3 } }$
$ $ Solve an exponential equation (inequality) by taking the logarithm on both sides $ $
$\log _{ \color{#FF6800}{ 3 } } { \left( \color{#FF6800}{ 27 } ^ { \color{#FF6800}{ 3 } } \right) } \color{#FF6800}{ + } \log _{ \color{#FF6800}{ 3 } } { \left( \color{#FF6800}{ 1 } \right) } \color{#FF6800}{ - } \log _{ \color{#FF6800}{ 3 } } { \left( \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ b } } \right) } = \log _{ \color{#FF6800}{ 3 } } { \left( \color{#FF6800}{ 9 } ^ { \color{#FF6800}{ 3 } } \right) }$
$\log _{ \color{#FF6800}{ 3 } } { \left( \color{#FF6800}{ 27 } ^ { \color{#FF6800}{ 3 } } \right) } \color{#FF6800}{ + } \log _{ \color{#FF6800}{ 3 } } { \left( \color{#FF6800}{ 1 } \right) } \color{#FF6800}{ - } \log _{ \color{#FF6800}{ 3 } } { \left( \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ b } } \right) } = \log _{ \color{#FF6800}{ 3 } } { \left( \color{#FF6800}{ 9 } ^ { \color{#FF6800}{ 3 } } \right) }$
$ $ Solve the equation $ $
$\color{#FF6800}{ b } = \color{#FF6800}{ 3 }$
Solution search results
search-thumbnail-Write the expression using $exponents$ $27\times 27\times 27\times 57\times 57\times 57$ 
$\left(1$ ma 
$27^{3}\times 57^{3}$ 
$27^{1}$ $\times 57^{3}$ 
$27^{1}$ $\times 57^{1}$ 
$27^{3}\times 57^{1}$
7th-9th grade
Other
search-thumbnail-The value of log, log, $3$ $\left(\left(log _{3}27^{3}$ $\longdiv{is-}$ 
$1.$ $~$ $m$ $~$ $3.27$
10th-13th grade
Other
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