Question

Log3 x+log3 (x+30)=log3 64

Answer 1

x = 2

Explanation:

`log_(3)x(x+ 30) = log_(3)64 \\ x(x + 30) = 64 \\ {x}^(2) + 30x - 64 = 0 \\ x = 2 \: or \: x = - 32`

-32 is rejected because in logarithms you cannot use negative value so x=2