SOLUTION: Use properties of logs to simplify the expression log[a](32)+(4/5)log[a](16)-(4/5)log[a](8)+log[a](1/(2^(9/5)) as much as possible
1.) log[a](16)
2.) log[a](32)
3.) 16
4.) lo
Question 779425: Use properties of logs to simplify the expression log[a](32)+(4/5)log[a](16)-(4/5)log[a](8)+log[a](1/(2^(9/5)) as much as possible
1.) log[a](16)
2.) log[a](32)
3.) 16
4.) log[a](2^-6)
5.) log[a](64)
Write the last term with a negative exponent
Write 32 as 25, 16 as 24, and 8 as 23
Move the xponents out front as multipliers:
Simplify:
Factor out loga(2)
(5+--)loga(2)
Write 5 as
(+--)loga(2)
·loga(2)
4·loga(2)
Edwin