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Algebra Level 2

If 3 x + 1 3^{x+1} = 4, what is 3 2 x 1 3^{2 x-1}


The answer is 0.59.

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2 solutions

Hello,

as 3^(x+1)= 4 , 3^(2x-1) = (3^x)^2 / 3 = ?(1st)

(3^x)(3)= 4

3^x = 4 / 3 -----> substitute into (1st),

( 4/ 3) ^2 x (1/3) = 16 / 27 ~ 0.593

Thanks...

Kevin Patel
Jul 16, 2014

by equating, i got x = 0.262....thus again putting the value, using the calculator,answer is 0.59.

It is a non-rigorous solution

Mohammed Imran - 1 year, 3 months ago

what if no calculator was used?

Mohammed Imran - 1 year, 3 months ago

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