Question

highest power of 12 in 100!

Answer 1

If the power is in whole number then,

[math]12^1 = 12[/math] and [math]12^2 = 144[/math]

So, taking [math]100[/math] into consideration, highest power is [math]1[/math].

For real number valued power,

[math]12^x = 100[/math]

[math]x = log_{12}100[/math]

[math]x = 1.853256816058254...[/math] which is the highest power.

Answer 2

1.853 is the highest power of 12 in 100 Hope it helps