6 Expand these logarithms using the rules of logarithms Make

6 Expand these logarithms, using the rules of logarithms (Make there are no exponents or radicals in your final answer ) log,(8a,b\") a. 4va b log

Solution

a.log₂8a³b⁷= log₂8 + log₂a³+ log₂b⁷= log₂2³+ 3 log₂a+ 7log₂b = 3 + 3 log₂a+7log₂b

b. log(4 sqrta/x²y⁷)

log(4 sqrt a) -log(x²y⁷)

log 4 + log sqrt a - log x²- log y⁷

log 2²+ log a^1/2- 2 log x-7 log y

2 log 2 +(1/2) log a -2 log x -7 log y