# The solution of the equation log7 log5 (√x + 5 + √x) = 0 is………….

Deepak Patra
7 years ago
Hello Student,

The given equation is
log7 log5 (√x + 5 + √x) = 0
$\Rightarrow$ log5 (√x + 5 + √x) = 1
$\Rightarrow$√x + 5 + √x = 5 $\Rightarrow$√x + 5 = 5 - √x
Squaring both sides
$\Rightarrow$x + 5 = 25 – 10 √x + √x $\Rightarrow$10√x = 20
$\Rightarrow$√x = 2 $\Rightarrow$x = 4

Thanks
Deepak Patra