Math and Physics Tutor

Solve for x

If 5^a=55
and 55^b=125,

find the product ab

Find the greatest
value of x so that
3^x is factor of 100!

If a and b are natural numbers,
and a^b-b=77

a+b=?

Exponential inequality. Solve for x:

3^(2x-1)>9

Nice plot.

Trigonometric functions around a unit circle

A bit of history.

arxiv.org

Let x and y be greater than zero.
If (57x^2 + y^2)/(70x^2 - y^2) = 451/510,
find the value of x/y