Question

$if \: {2}^{a } = {3}^{b} = {6}^{c} ,then \: c =$
​

Answer 1

Answer:

${2}^{a} = {3}^{b} = {6}^{c} \\ \\ {2}^{a} = {6}^{c} \implies \: {2}^{a} = {2}^{c} \times {3}^{c} \\ \\ \implies \: \frac{ {2}^{a} }{ {2}^{c} } = {3}^{c} \\ \\ \implies \: {2}^{a - c} = {3}^{c}$