SOLUTION: Solve a) log(base 3)x = 3 b) log(base 5)0.04 = x Can you please help me out? Thanks so much in advance:) Can you also show the steps it would really help me understand better

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve a) log(base 3)x = 3 b) log(base 5)0.04 = x Can you please help me out? Thanks so much in advance:) Can you also show the steps it would really help me understand better      Log On


   

Question 750161: Solve
a) log(base 3)x = 3
b) log(base 5)0.04 = x
Can you please help me out? Thanks so much in advance:)
Can you also show the steps it would really help me understand better:)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve
a) log(base 3)x = 3
log%283%2C%28x%29%29=3
convert to exponential form: base(3) raised to log of number(3)=number(x)
x=3^3=9
..
b) log(base 5)0.04 = x
log%285%2C0.04%29=x%29
base(5) raised to log of number(x)=number(0.04)
5^x=0.04
xlog(5)=log(0.04)
x=log(0.04)/log(5)
x=-2