Not sure if this is the right forum for this. I'm new here
I'm studying to take the GMAT and I'm stumped on the following problem:
5^21 * 4^11 = 2 * 10^n
I need to solve for n. The answer I believe is 21, but I don't know how to arrive at the answer without a calculator. So I'm asking how to solve this without actually calculating the 5^21 and 4^11.
All the review material I've been reading talks about having like bases before combining exponents and I'm not seeing how to get like bases in this problem.
Thanks for the response!
I see how you get n=21 from the equation you've written and I understand how you got the left side. I'm confused as to how you got the right side of the equation though.
How does 2 * 10^n become 5^n * 2^(n+1) ?
Can you walk me through the transition?