Solve for r. 10^r = 10,000,000,000 r =

To solve for ( r ) in the equation ( 10^r = 10,000,000,000 ), we can express 10,000,000,000 in terms of powers of 10.

1. First, notice that ( 10,000,000,000 ) can be written as ( 10^{10} ) because it has 10 zeros.
2. Now we have the equation ( 10^r = 10^{10} ).
3. Since the bases are the same, we can set the exponents equal to each other: ( r = 10 ).

So, the solution is ( r = 10 ).

Feel free to ask if you need further clarification!