Question

find x
log √x-1 + 1/2 log ( 2x+15) = 1 .​

Answer 1

Answer:

5 , -46/4

Step-by-step explanation:

$log \sqrt{x - 1} + log {(2x + 15)}^{ \frac{1}{2} } = 1$

$log \sqrt{x - 1} \sqrt{2x + 15} = 1$

$\sqrt{(x - 1)(2x + 15)} = {10}^{1}$

$2 {x}^{2} + 13x - 115 \: = 0$

$x = 5 \: and \: \frac{46}{4}$