SOLUTION: (log base of 3)3+(log base of 3)x=5

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: (log base of 3)3+(log base of 3)x=5      Log On


   

Question 411074: (log base of 3)3+(log base of 3)x=5
Found 2 solutions by Tatiana_Stebko, ewatrrr:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2C3%29%2Blog%283%2Cx%29=5
Use formulas log%28c%2Ca%29%2Blog%28c%2Cb%29=log%28c%2C%28ab%29%29, so log%283%2C3%29%2Blog%283%2Cx%29=log%283%2C3x%29
__________a=%28log%28c%2Cc%5Ea%29%29, so 5=log%283%2C3%5E5%29=log%283%2C+243%29
log%283%2C3x%29=log%283%2C243%29
3x=243
x=243%2F3
x=81
.
Check the answer
log%283%2C3%29%2Blog%283%2C81%29=5
1%2B4=5
5=5- correct
Answer x=81

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi









  3^5 = 3x

   81 = x