I couldn't find this posted yet, so I apoligize if this has been asked before...
5^21 x 4^11 = 2 x 10^n solve for n
answer is n=21, I'm not sure how to get there.
Thanks for any help!
GMAT prep exponent question
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5^21 x 4^11 = 2 x 10^n solve for n
answer is n=21, I'm not sure how to get there.
5^21 x 4^11= 5^21 x (2^2)^11= 5^21 x 2^22
2 x 10^n = 2 x (5x2)^n=2 x 5^n x 2^n=5^n x 2^n+1
Therefore 5^21 x 2^22 = 5^n x 2^n+1
You can see n = 21
answer is n=21, I'm not sure how to get there.
5^21 x 4^11= 5^21 x (2^2)^11= 5^21 x 2^22
2 x 10^n = 2 x (5x2)^n=2 x 5^n x 2^n=5^n x 2^n+1
Therefore 5^21 x 2^22 = 5^n x 2^n+1
You can see n = 21