Question

$$Lo g _{ 2 } (y-3)+Lo g _{ 2 } (y+2)$$

Answer

$$2*Lo*g_2*y-Lo*g_2$$

Solution


Expand by distributing terms.
\[Log_2y-3Log_2+Log_2(y+2)\]
Expand by distributing terms.
\[Log_2y-3Log_2+Log_2y+2Log_2\]
Collect like terms.
\[(Log_2y+Log_2y)+(-3Log_2+2Log_2)\]
Simplify.
\[2Log_2y-Log_2\]