4 years ago

Jenna, Tatiana, and Nina have decided to share their Halloween candy.

Mathematics

1 answer:

Shtirlitz [24]4 years ago

7 0

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Let 4^x-3^(x-1/2)=3^(x+1/2)-2^(2x-1) find x=?

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4^x-3^(x-1/2)=3^(x+1/2)-2^(2x-1)

4^x - 3^x * 3^-1/2 = 3^x * 3^1/2 - 2^2x * 2^-1

2^2x + 2^2x * 1/2 = 3^x * 3^1/2 + 3^x * 3^-1/2

2^2x(1 + 1/2) = 3*x( 3^1/2 + 3^-1/2)

3/2 * 2^2x = 2.3094 * 3^x

ln 1.5 + 2x ln 2 = ln 2.3094 + x ln 3

2x ln 2 - x ln3 = ln 2,3094 - ln 1.5

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0.2877x = 0.4315

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