SOLUTION: Please show all work that leads to your answer and round answers to the nearest hundredth. Be sure to check your answers. (log3)3+log3x=5

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please show all work that leads to your answer and round answers to the nearest hundredth. Be sure to check your answers. (log3)3+log3x=5      Log On


   



Question 941800: Please show all work that leads to your answer and round answers to the nearest hundredth. Be sure to check your answers.
(log3)3+log3x=5

Found 2 solutions by srinivas.g, MathTherapy:
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
(log3)3+log3x=5 but log a+logb =log(a*b)
log (3*x) base 3 =5
log(3x) base 3 =5 formula: Log a base b =x, then a =b^x
+3x++=+3%5E5
3x=243
divide with 3 on both sides
+3x%2F3++=243%2F3
x=81
Result : 81

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Please show all work that leads to your answer and round answers to the nearest hundredth. Be sure to check your answers.
(log3)3+log3x=5

log+%283%2C+3%29+%2B+log+%283%2C+x%29+=+5
1+%2B+log+%283%2C+x%29+=+5 ------- log+%283%2C+3%29+=+1
log+%283%2C+x%29+=+5+-+1
log+%283%2C+x%29+=+4 ---- Logarithmic form
x+=+3%5E4 ------- Exponential form
highlight_green%28x+=+81%29