SOLUTION: I need help with the problem: simplify: log_7(7^log_7(343)) thank you

Algebra.Com
Question 33522: I need help with the problem: simplify:
log_7(7^log_7(343))
thank you

Answer by longjonsilver(2297)   (Show Source): You can put this solution on YOUR website!


So, in base7, log(343) is which is and log7 in base7 is 1. So, log_7(343) is 3.

So we have now log(7^3) which is again the same thing:
3log7 in base7
is 3

jon.

RELATED QUESTIONS

I need help with this problem... (answered by ankor@dixie-net.com)
Can someone help me with writing these problems into log. Form, 7^3=343 and... (answered by ewatrrr)
I need help with this problem: log(x-7) - log(8x-50) = log(1/x) I need the exact... (answered by ewatrrr)
Hello there I need help with the following questions please, 1) Log base 5(x^-2x-10)=... (answered by katealdridge)
PLEASE TUTORS,I NEED HELP FOR THIS PROBLEM...... Given that Log 2 = 0.3010 and Log 7 =... (answered by jim_thompson5910,MathTherapy)
Write the equation 7^3 = 343 in logarithmic form. a. log3 343 = 7 b. log7 343 = 3 c.... (answered by stanbon)
simplify log[7]... (answered by jessica43)
I need help solving the following for x... (answered by Alan3354)
Simplify to a single log: {{{ 3(log(7,x)+4log(7,y)-2log(7,z)) }}} =? Thank... (answered by ikleyn)