If (3^a)*(4^b)=c , then what is the value of b? 1. 5^a=25 2. : DS Archive - Page 2
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# If (3^a)*(4^b)=c , then what is the value of b? 1. 5^a=25 2.

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22 Jun 2006, 11:14
Yes there is.

3^x=36
xln3=ln36=ln(4*9)=lin4+ln9=ln4+2ln3
(x-2)ln3=ln4
x-2=ln4/ln3
x=ln4/ln3+2
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22 Jun 2006, 13:39
Good point HongHu.

The DS is not saying that a and b are intergers . Thus, it exists infinite solutions with a not fixed.
22 Jun 2006, 13:39

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