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Tenisha solved the equation below by graphing a system of equations. mc018-1.jpg Which point approximates the solution for Tenisha’s system of equations? (0.9, 0.8) (1.0, 1.4) (2.3, 1.1) (2.7, 13.3) Mathematics

User Krish R
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2 Answers

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B. (1.0, 1.4) is the correct answer :)

User Joaquinglezsantos
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log3 5x = log5 (2x + 8) implies log3 5x = 2log5 . x + 8log5

log3 5x - 2log5 . x = 8log5 and (5log3 - 2log5)x = 8log5

Finally, x = 8log5 / (5log3 - 2log5) = a let y = log5 (2x + 8), so y(a) = log5 (2a + 8) The point approximating the solution is P( a, y(a)) or P ( 8log5 / (5log3 - 2log5, log5[2 (8log5 / (5log3 - 2log5)) + 8])

Therefore, by graphing a system of equations, the points that approximate the solution for Tenisha’s system of equations are points (1.0, 1.4).
User Ato
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