Greatness!

Algebra Level 3

Which is one greater?

$\large 2^{30} \quad \text{ or } \quad 3^{20}$

Both are equal.

2^{30}

3^{20}

2 solutions

Arulx Z
Apr 7, 2016

By taking the $10^\text{th}$ root,

$\begin{aligned} 2^{ 30 } & & 3^{ 20 } \\ 2^{ 3 } & \lessgtr & 3^{ 2 } \\ 8 & < & 9 \end{aligned}$

Easy standard approach. :))

Satyabrata Dash - 5 years, 2 months ago

Thanks :))

Arulx Z - 5 years, 2 months ago

Abhisek Mohanty
Jun 25, 2016

$WE$ $CAN$ $ALSO$ $USE$ $LOGARITHMS$ $FOR$ $COMPARISON$ $...................$