milynx wrote:Write the logarithmic expression 3 log _2 X + log 2_2 Y - 5 log_2 Z as a single logarithm.
Apply the multiplier-to-power log rule
to move the multipliers 3 and 5 inside their respective logs. Then use the addition rule to combine the first two logs into one. Lastly, apply the subtraction log rule to combine this new log with the third log in the original expression.
You should end up with
, assuming the first "2" in the second term is a typo.