Question

Solve for X ,logx15√5=2-logx3√5

Answer 1

Answer:

The value of x is 15

Step-by-step explanation:

Formula used:

Product rule:

$\bold{log_a(MN)=log_aM+log_aN}$

Given:

$log_x{15\sqrt5}=2-log_x{3\sqrt5}$

Rearranging terms we get

$log_x{15\sqrt5}+log_x{3\sqrt5}=2$

$log_x(15\sqrt5*3\sqrt5)=2$

$log_x(15*3*5)=2$

$log_x(225)=2$

$log_x(225)=2$

$\implies\:x^2=225$

$\implies\:x=\sqrt{225}$

$\implies\:x=15$