SOLUTION: I need help in trying to rewrite this expression as a single logarithm. Log(Q^5) + Log(Q^3) - Log(Q) Thanks!

Algebra.Com
Question 380543: I need help in trying to rewrite this expression as a single logarithm.
Log(Q^5) + Log(Q^3) - Log(Q)
Thanks!

Found 2 solutions by stanbon, rfadrogane:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Log(Q^5) + Log(Q^3) - Log(Q)
====
= Log[Q^5*Q^3/Q]
-----
= Log[Q^7]
or
= 7Log[Q]
=================
Cheers,
Stan H.

Answer by rfadrogane(214)   (Show Source): You can put this solution on YOUR website!

Log(Q^5) + Log(Q^3) - Log(Q)
Sol'n:
recall: log A + log B = log AB
log A - log B = log (A/B)
thus,
= log(Q^5) + log(Q^3) - log(Q)
= log (Q^5/Q^3)- log Q
= log (Q^2)- log Q
= log (Q^2/Q)
= log Q ----answer

RELATED QUESTIONS

Express p- 1/3 log q as a single logarithm (answered by Alan3354)
How would I rewrite 1/2log s + 5 log q as a logarithm of a single... (answered by stanbon,nerdybill)
rewrite log"c"(p-q)-2log"c"(p+q) as a single logarithm where "c" is the base. (answered by lwsshak3)
i do not know how to express as a single logarithm heres the problem: 6 log[m](p) - 5 (answered by lwsshak3)
Rewrite each expression as a single logarithm: a) log 2 + log x – (log 3 + log y) b)... (answered by Alan3354)
evaluate the logarithm. 1. log (base 7) 1/49 write the expression as a single... (answered by nerdybill)
Use the properties of logaritms to rewrite the expression as a single logarithm. 3... (answered by stanbon,Alan3354)
Rewrite th expression as a single logarithm.... (answered by jsmallt9)
Write this expression in a single logarithm log 2 + log 5: a. log 2.5 b. log 10 c.... (answered by MathLover1)