Let x be the number of digits in begin math size 16px style 2 to the power of 2001 end style when calculated. Let y be the number of digits in begin math size 16px style 5 to the power of 2001 end style when calculated. Find the sum of x and y

2002

Step-by-step explanation:

The number of digits in a number is the ceil value of the base-ten logarithm of the number (ceil value means rounding up).

When

When

Note that the sum x + y could be derived by finding the number of digits in

The number of zeros in is 2001. Including the 1 in leftmost digit position gives 2001 + 1 = 2002

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: