SOLUTION: Without using a calculator, determine the values of the following expressions. (Hint: your answer should be a single number, not a calculation.) A)log4(64) B)log2(32) C)log3(1/

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Without using a calculator, determine the values of the following expressions. (Hint: your answer should be a single number, not a calculation.) A)log4(64) B)log2(32) C)log3(1/      Log On


   

Question 1130549: Without using a calculator, determine the values of the following expressions. (Hint: your answer should be a single number, not a calculation.)
A)log4(64)
B)log2(32)
C)log3(1/27)


Found 2 solutions by MathLover1, ankor@dixie-net.com:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A)
log%284%2C64%29=3....because 4%5E3=64
B)
log%282%2C32%29=5....because 2%5E5=32
C)
log%283%2C1%2F27%29+=-3...because 3%5E-3=1%2F27

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A)log4(64) = y
exponent equiv of logs
4^y = 64
4^3 = 64
y = 3
:
B)log2(32)
2^y = 32
2^5 = 32
y = 5
:
C)log3(1/27)
3^y = 1%2F27
3^-3 = 1%2F27
y = -3