use the properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms.

Question

show your work

ln x^2/y^3

Assuming x,y AND z are positive use properties of logariths to write the expression as a single logarithm

logx+log y

1/3logx

4 log(xy)-3 log (yz)

Use change of base to evaluate the logarithm

log tiny 8 175

log small 3 X

Answer 1

there are 3 log properties you will need for the first four.

1. LogA + logB = log(AB)
2. logA - logB = log(A/B)
3. nlogA = log(A^n)

for log₈175
= log 175/ log 8 , remember when no base is written, assume base 10
= 2.4837 appr.