Solve log 2x + log 12 = 3.
Round to the nearest hundredth if necessary.
(1 point)
• 6,000
O 24,000
• 166.67
• 41.67
Adding the two logarithms can be simplified by applying the property of multiplication:
log 2x + log 12 = log (2x * 12) = log (24x).
So, the equation becomes:
log (24x) = 3.
Using the property of logarithms that states log a (b) = c is equivalent to b = a^c:
24x = 10^3.
Simplifying:
24x = 1000.
Dividing both sides by 24:
x = 41.67.
Therefore, the solution is x = 41.67, rounded to the nearest hundredth.