Question

log (10x + 5) - log (x - 4) = 2​

Answer 1

Answer:

$x = \frac{9}{4}$

Step-by-step explanation:

$log(10x + 5) - log(x - 4) = 2 \\ = > log_{}( \frac{10x + 5}{x - 4} ) = 2 \\ = > \frac{10x + 5}{x - 4} = 10 {}^{2} \\ = > \frac{10x + 5}{x - 4} = 100 \\ = > 10x + 5 = 100(x - 4) \\ = > - 90x = - 405 \\ = > x = \frac{9}{2 } \: or \: 4 \frac{1}{2}$

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