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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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SVP
Joined: 03 Jan 2005
Posts: 2228

Kudos [?]: 378 [0], given: 0

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22 Jun 2006, 12:14
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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Kudos [?]: 378 [0], given: 0

SVP
Joined: 01 May 2006
Posts: 1794

Kudos [?]: 167 [0], given: 0

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22 Jun 2006, 14:39
Good point HongHu.

The DS is not saying that a and b are intergers . Thus, it exists infinite solutions with a not fixed.

Kudos [?]: 167 [0], given: 0

22 Jun 2006, 14:39

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