Question

find the value of m for which 5^m÷6^-3=6^5​

Answer 1

Answer:

$m = \frac{2 log_{2}(6) }{ log_{2}(5) }$

Step-by-step explanation:

${5}^{m} = {6}^{5 - 3}$

${5}^{m} = {6}^{2}$

$log_{2}( {5}^{m} ) = log_{2}( {6}^{2} )$

$m log_{2}(5) = 2 log_{2}(6)$

$m = \frac{2 log_{2}(6) }{ log_{2}(5) }$

You can take normal Log (base e) too. Generally answer is given in Log base 2 form...