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3^(2x-1) = 2^(2-x)

0 votes

Solve for x?

solving-equations

asked Nov 17, 2014 in ALGEBRA 1 by anonymous

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1 Answer

0 votes

3^(2x-1) = 2^(2-x)

Rewrite the expression

3^2x3 ^-1 = 2²2-x

3^2x/3 = 2²/2x

3²3^x/3 = 2²/2x

33^x = 2²/2x

3^x*2x = 4/3

6x = 4/3

Apply logarithm on each side .

x log 6 = log (4/3)

x = log (4/3) / log 6 .

answered Nov 17, 2014 by yamin_math Mentor

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