SOLUTION: Express as a single logarithm.Simplify if possible. {{{ log (a, 2) }}} + 4 {{{ log (a, y) }}} - 2 {{{ log (a, z) }}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Express as a single logarithm.Simplify if possible. {{{ log (a, 2) }}} + 4 {{{ log (a, y) }}} - 2 {{{ log (a, z) }}}       Log On


   

Question 310542: Express as a single logarithm.Simplify if possible.
+log+%28a%2C+2%29+ + 4 +log+%28a%2C+y%29+ - 2 +log+%28a%2C+z%29+

Found 2 solutions by stanbon, scutechandni10:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Express as a single logarithm.Simplify if possible.
log (a, 2) }}} + 4 log (a, y) - 2 log (a, z)
---------------
= loga(2) + loga(y^4) - loga(z^2)
---
= loga[2y^4/z^2]
=====================
Cheers,
Stan H.

Answer by scutechandni10(7) About Me  (Show Source):
You can put this solution on YOUR website!
That's easy:
loga2+4loga y-2loga z
Solution;
Apply the laws of logarithms;
loga2+log(a)y^4-log(a)z^2
log(a)(2*y^4/z^2)
log(a)(2y^4/z^2)
Final answer: log(a)(2y^4/z^2)