Question

State true or false:

${31}^{14}$ < ${17}^{18}$

• A. True
• B. False

Answer 1

The correct option is A True

Taking logarithm on both sides,

$\Rightarrow log{31}^{14}<log{17}^{18}$

$\Rightarrow 14log31<18log17$

$\Rightarrow 14\times log31<18\times log17$

$\Rightarrow 14\times 1.49<18\times 1.23$

$\Rightarrow 20.86<22.14$

$\Rightarrow$ The equation is true.