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timofeeve [1]
3 years ago
14

Solve this2^x=3^(x+1) what are the exact and approximate solutions

Mathematics
1 answer:
GrogVix [38]3 years ago
7 0

Take the logarithm of both sides

x = log_{2}(3)x +log_{2} (3)

Move expression

x-log_{2}(3)x = log_{2}(3)

Factor out x

x(1-log_{2}(3)) =log_{2}(3)

Divide

x = (log_{2}(3)) / (1-log_{2}(3))

<h2></h2><h2>x≈ -2.70951</h2>
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The triangle is isosceles since two of its legs coincide with the radius of the circle, and the angle between these sides measures 120°, same as the arc it subtends. If b is the length of the third side in the triangle, then by the law of cosines

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