Question

log 2 log✓2 log 3 = 81​

Answer 1

Correct Question ⤵

log ₂ log ✓2 log ₃ 81

${\pmb{\underline{\sf{Required \: Solution....}}}}$

$log_{2} \: log_{2 \frac{1}{2} } \: log_{3} \: 81 \\ log_{2} \: log_{2 \frac{1}{2} } \: log_{3} \: \sf\red{3 {}^{4} }$

Use

$\sf\green{ log_{a}(a {}^{x}) = x }$

$log_{2} \: log_{2 \frac{1}{2} }\sf\red{4} \\ log_{2} \: log_{2 \frac{1}{2} } \: \sf\red{2 {}^{2} }$

Use

$\sf\green{log_{a {}^{y} }( {a}^{x} ) = \frac{x}{y}}$

$log_{2} \: \sf\red{4} \\ log_{2} \: {2}^{2}$

Use

$\sf\green{ log_{a}(a {}^{x} ) = x}$

$\;\large{\boxed{\bf{\pink{2}}}} \: is \: the \: ans...$

$\sf\blue{hope \: this \: helps \: you!! \: }$

@Mahor2111

___________▤▧▦❃✿❃▩▨▧___________

Answer 2

Answer:

$</p><p>RequiredSolution....RequiredSolution....</p><p></p><p>\begin{gathered} log_{2} \: log_{2 \frac{1}{2} } \: log_{3} \: 81 \\ log_{2} \: log_{2 \frac{1}{2} } \: log_{3} \: \sf\red{3 {}^{4} }\end{gathered}log2log221log381log2log221log334</p><p></p><p>Use</p><p></p><p>\sf\green{ log_{a}(a {}^{x}) = x }loga(ax)=x</p><p></p><p>\begin{gathered} log_{2} \: log_{2 \frac{1}{2} }\sf\red{4} \\ log_{2} \: log_{2 \frac{1}{2} } \: \sf\red{2 {}^{2} } \\ \end{gathered}log2log2214log2log22122</p><p></p><p>Use</p><p></p><p>\sf\green{log_{a {}^{y} }( {a}^{x} ) = \frac{x}{y}}logay(ax)=yx</p><p></p><p>\begin{gathered} log_{2} \: \sf\red{4} \\ log_{2} \: {2}^{2} \end{gathered}log24log222</p><p></p><p>Use</p><p></p><p>\sf\green{ log_{a}(a {}^{x} ) = x}loga(ax)=x</p><p></p><p>\;\large{\boxed{\bf{\pink{2}}}} \: is \: the \: ans...2istheans...</p><p></p><p>\sf\blue{hope \: this \: helps \: you!! \: }hopethishelpsyou!!</p><p></p><p>@Mahor2111</p><p></p><p>___________▤▧▦❃✿❃▩▨▧___________</p><p></p><p>$