SOLUTION: Use the properties of to write the following as single logarithms A) log100-1/3logy+1/2logz B)-3/2logu-logs+3logr+logt use the properties of logarithmsto solv

Click here to see ALL problems on logarithm

Question 167685: Use the properties of to write the following as single logarithms
A) log100-1/3logy+1/2logz B)-3/2logu-logs+3logr+logt

use the properties of logarithmsto solve exactly the following equations
A) logx(27)=3 B) log(x+2)-log(x-1)=log(4)
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Use the properties of to write the following as single logarithms
A) log100-1/3logy+1/2logz
log[100*z^2/y^(1/3)
----------------------------------------

B)-3/2logu-logs+3logr+logt
= log[rt/[u^(3/2)*s]]
===========================
use the properties of logarithms to solve exactly the following equations
A) logx(27)=3
x^3 = 27
x = 3
---------------
B) log(x+2)-log(x-1)=log(4)
log[(x+2)/(x-1)] = log(4)
x^2+x-2 = 4
x^2 + x -6 = 0
(x+3)(x-2) = 0
Positive solution:
x = 2
======================
Cheers,
Stan H.