SOLUTION: can you help me on solving this logarithmic equation, and express irrational solutions in exact form log2(5x)=4

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Question 963407: can you help me on solving this logarithmic equation, and express irrational solutions in exact form
log2(5x)=4
Found 3 solutions by MathLover1, addingup, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

.........change to the base



...........if log same, then

exact solution (and it is not an irrational number)
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
log(5x)/log(2)=4 Multiply both sides by log(2):
log(5x)= 4log(2) Let's work on the right side:
4log(2)= log(2^4)= log(16) So now we have:
log(5x)= log(16) Cancel the logarithms by taking exponents on both sides:
5x=16 Divide both sides by 5
x= 16/5


Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

can you help me on solving this logarithmic equation, and express irrational solutions in exact form
log2(5x)=4
 ----- Logarithmic form

 -------- Exponential form



, or  

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