SOLUTION: Can you help me with this please? What is the difference between #1 and #2 below? #1 --> Log(A * B) #2 --> Log(A) * Log(B) also... compare: #1

Click here to see ALL problems on Exponential-and-logarithmic-functions

Question 147718: Can you help me with this please?
What is the difference between #1 and #2 below?
#1 --> Log(A * B)
#2 --> Log(A) * Log(B)
also...
compare:
#1 - Log2(2 * 8)
vs.
#2 - Log2(2)*Log2(8)
Are the values different? Why?
Can you show me another example?
Thank you
Answer by mangopeeler07(462) (Show Source):
You can put this solution on YOUR website!
The values are not the same.
#1 --> Log(A * B)
#2 --> Log(A) * Log(B)
plug in a value for log, a value for A, and a value for B. Like so:
4(3x5)=60.
4(3)x 4(5)=240.
NOT THE SAME!!!
-------------------------------------------------------------
However,
#1 --> Log(A + B)
#2 --> Log(A) + Log(B)
4(3+5)=32
4(3)+4(5)=32
THE SAME!!!
-------------------------------------------------------------

SOLUTION: Can you help me with this please? What is the difference between #1 and #2 below? #1 --> Log(A * B) #2 --> Log(A) * Log(B) also... compare: #1 - Log2(2 * 8) vs.