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nitostyle
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exponent easy question 17 Sep 2007, 14:07
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Hi guys I wantd to know how you would solve a problem like this

10^3*4^2=2^n*5^2

This may be written wrong but I basically want to know what steps you take to solve for the N.

thanks in advance :)



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beckee529
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exponent easy question 17 Sep 2007, 14:15
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nitostyle
Hi guys I wantd to know how you would solve a problem like this

10^3*4^2=2^n*5^2

This may be written wrong but I basically want to know what steps you take to solve for the N.

thanks in advance :)
Show more


change the LHS bases to match with the RHS:

so 10^3 = 2^3 * 5^3
4^2 = 2^2 * 2^2
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nitostyle
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exponent easy question 17 Sep 2007, 14:25
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beckee529
nitostyle
Hi guys I wantd to know how you would solve a problem like this

10^3*4^2=2^n*5^2

This may be written wrong but I basically want to know what steps you take to solve for the N.

thanks in advance :)

change the LHS bases to match with the RHS:

so 10^3 = 2^3 * 5^3
4^2 = 2^2 * 2^2
Show more



Ok I get this part now, thank you. but how do you get the value of N?
if you know one off your head you can use as an example that would be really helpful

thank you
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bkk145
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exponent easy question 17 Sep 2007, 18:49
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nitostyle
Hi guys I wantd to know how you would solve a problem like this

10^3*4^2=2^n*5^2

This may be written wrong but I basically want to know what steps you take to solve for the N.

thanks in advance :)
Show more


You have to make the base the same, but in this case, it is not possible and I think the question is wrong...

10^3*4^2=2^n*5^2
(5*2)^3 * (2^2)^2 = 2^n * 5^2
5^3 * 2^7 = 2^n * 5^2

Still left with 5.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!