SOLUTION: log4 (x+3)=3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log4 (x+3)=3      Log On


   

Question 948279: log4 (x+3)=3
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%284%2C%28x%2B3%29%29=3.....change the base to base 10
log%28%28x%2B3%29%29%2Flog%28%284%29%29=3
log%28%28x%2B3%29%29=3log%28%284%29%29
log%28%28x%2B3%29%29=log%284%5E3%29
log%28%28x%2B3%29%29=log%2864%29...since log same, then
x%2B3=64 is same too; so, solve for x
x=64-3
x=61

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
log4 (x+3)=3
log+%284%2C+%28x+%2B+3%29%29+=+3 ----- Logarithmic form

x+%2B+3+=+4%5E3 --------- Changing logarithmic form to exponential form

x + 3 = 64

x = 64 - 3__________highlight_green%28x+=+61%29