3 years ago

Identify a solution of the equation: log2x+log(x−5)=2

Mathematics

1 answer:

Harrizon [31]3 years ago

6 0

Answer:

3.x= 10

Step-by-step explanation:

log 2x + log (x - 5) = 2
log (2x(x - 5)) = 2
2x(x - 5) = 10²
2(x² - 5x) = 100
x² - 5x - 50 = 0
x² + 5x - 10x - 50 = 0
x(x + 5) - 10(x + 5) = 0
(x - 10)(x + 5) = 0
x = 10
x = -5, this root is discounted as log should be positive.

Correct choice is 3.

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