Question

Solve log4x + log4(x-2)= log4 15
Help please!

Answer 1

use basic property of logarithms\[\log_{b} a+\log_{b} c=\log_{b} (ac)\]

Answer 2

now can u use this on your problem?

Answer 3

\[\log_{4} x+\log_{4} (x-2)=\log_{4} 15\]
that is given right?

Answer 4

here first two terms on the left hand side has a commom base of 4 ,so we can use the above property
\[\log_{4} x(x-2)=\log_{4} 15\]
ok?

Answer 5

Is the answer x= -3 or 5 ?

Answer 6

answer is 5
because it will satisfy the equation

Answer 7

\[x(x-2)=15\\if~X=5~u'\ll~have\\x(x-2)=5(5-2)=15\]

Answer 8

ok got it?

Answer 9

Yeah. I didn't check them at the end. Thanks

Answer 10

yes u have to check because when u'll get 2 answers 1 will not satisfy the main equation and i will satisfy