Homework Help: Math

Posted by Kellie on Tuesday, January 16, 2007 at 2:40am.

I have 2 problems I need help with both I have narrowed it down to 2 possible answers but can't decide which one is right. The first problem log subscript 5 (2x+3)=2 the choices a)13/2 and b) 14. The next problem 8^x = 16^x+2 the choices a)8 and b)-8. Help please!

If log5 z = 2 then z=25
2x+3=25 x=you do it.

8^x = 16^(x+2)
8^x = 2^x+2 * 8^x+2
divide by 8^x

1=64*2^(x+2)
1/64 = 2^(x+2)
1/2^6 = 2^(x+2)
2^-6 = 2^(x+2)
now take the log base 2 of each side.

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