SOLUTION: simplify the equation log5^1/5 + log1/5^5

Algebra.Com
Question 925965: simplify the equation log5^1/5 + log1/5^5
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
log[5^1/5] + log[1/5^5]
------
= log[5^(1/5)*(1/5)^(5)]
----
= log[5^(1/5)*5^(-5)]
====
= log[5^(-5+1/5)]
----
= log[5^(-24/5)]
====
= (-(24/5)log(5)
------------------------
Cheers,
Stan H.
--------------

RELATED QUESTIONS

log1^5 (answered by Alan3354)
what is the exponential form of log1/2 16 = -4 and log5 1/sqrt(5) = -1/2 please help me.... (answered by josmiceli,MathTherapy)
Simplify log5 5 to the seventh... (answered by lwsshak3)
Simplify the expression. {{{5(log5... (answered by Alan3354)
Solve the logarithmic equation for x. log5 6 + log5 x = log5 8 + log5(x −... (answered by stanbon,MathLover1)
log1/3(5)=? (answered by Fombitz)
log5 125 + log5 5 = (answered by ikleyn)
Evaluate the expression. Log1/5... (answered by Alan3354)
Find the number log5... (answered by mathchemprofessor)