Solving Tricky Logarithms Problems

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Two challenging logarithmic problems were presented for assistance: 10(3^(2x+1)) = 2^(4x-3) and (2/3x)^(log2) = (9x)^(log3). The recommended approach is to take the logarithm of both sides of each equation and apply the laws of logarithms, particularly the exponent law. This method should help isolate x and lead to a solution. The discussion also notes that similar questions have been asked in another forum.
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hi,
i got 2 problems that are really hard to solve. i don't know wether they are trick question or they just can be incorperated in a formula.i have taken days to solve them but in vain. please help!

a) 10(3^(2x+1)) = 2^(4x-3)

b) (2/3x)^(log2) = (9x)^(log3)

thanks you very much:frown:
 
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In both questions, take the logarithm of both sides of the equation, then use the laws of logarithms to isolate x (the one to start with is the exponent law: log(x^b) = b*log(x)).

The solutions to the questions should hopefully follow easily now. =)

(Ha, just noticed your post in the other forum was asking the same question. Seems you got some answers there.)
 
lol...rite
 
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