SOLUTION: How to evaluate problems freehand? evaluate: {{{ log_27 (1/9) }}} {{{ log_2 (4^(sqrt(3))) }}} {{{ e^(2ln5) }}} I need to know how to solve these for an upcoming ex

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How to evaluate problems freehand? evaluate: {{{ log_27 (1/9) }}} {{{ log_2 (4^(sqrt(3))) }}} {{{ e^(2ln5) }}} I need to know how to solve these for an upcoming ex      Log On


   

Question 951131: How to evaluate problems freehand?
evaluate:

+log_27++%281%2F9%29+
+log_2++%284%5E%28sqrt%283%29%29%29+
+e%5E%282ln5%29+
I need to know how to solve these for an upcoming exam and I am worried I wont know how to solve them freehand. Please help!
Thank you
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+log%2827%2C%281%2F9%29%29
= +log%2827%2C%281%2F9%29%29
27 = 3^3
1/9 = 27^(-2/3)
= -2/3
===============================
+log%282%2C4%5E%28sqrt%283%29%29%29
= +log%282%2C2%5E%282%2Asqrt%283%29%29%29
= 2sqrt%283%29
=================================
+e%5E%282ln%285%29%29+
= +e%5E%28ln%2825%29%29+
= 25
I need to know how to solve these for an upcoming exam and I am worried I wont know how to solve them freehand.