SOLUTION: Evaluate the expressions 1. Log64 ^ 4 2. 5 log 5 ^18 Expand. Ln (e^2/11) Log2 7^-3 Evaluate or simplify 10log4

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Evaluate the expressions 1. Log64 ^ 4 2. 5 log 5 ^18 Expand. Ln (e^2/11) Log2 7^-3 Evaluate or simplify 10log4      Log On


   

Question 542650: Evaluate the expressions
1. Log64 ^ 4
2. 5 log 5 ^18
Expand.
Ln (e^2/11)
Log2 7^-3
Evaluate or simplify
10log4
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the general rules:
+log%28a%5Eb%29+=+b%2Alog%28a%29+
and
+ln%28e%5Eb%29+=+b+
and
+%28a%5Eb%29%5Ec+=+a%5E%28b%2Ac%29+
--------------
(1)
+log%28+64%5E4+%29+
+log%28%288%5E2%29%5E4%29+
+log%288%5E%282%2A4%29%29+
+log%288%5E8%29+
+8%2Alog%288%29+
-------------
(2)
+5%2Alog%285%5E18%29+
+5%2A18%2Alog%285%29+
+90%2Alog%285%29+
-------------
(3)
expand:
+ln%28e%5E%282%2F11%29%29+
+2%2F11+
-------------
(4)
+log%2827%5E%28-3%29%29+
+log%28+%283%5E3%29%5E%28-3%29+%29+
+log%28+3%5E%283%2A-3%29+%29+
+log%28+3%5E%28-9%29+%29+
+-9%2Alog%283%29+
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(5)
+10%2Alog%284%29+
Use calculator to find +log%284%29+
then multiply by 10