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December 22, 2014

December 22, 2014

Posted by **Moe** on Thursday, January 28, 2010 at 9:24pm.

1. Solve for x without a calculator:

log3(x^2)=2log3(4)-4log3(5)

This is what I have so far:

2log3(x)=log3(4^2)-log3(5^4)

2log3(x)=log3(16/625)

...and now I'm stuck.

2. Simplify:

2log4(9)-2log3 <--how do you simplify with different bases?

Thanks!

- Math -
**Reiny**, Thursday, January 28, 2010 at 9:38pmfrom

2log3(x)=log3(16/625)

log3 (x^2) = log3 (16/625

so x^2 = 16/625

x = √(16/625) = 4/25

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