Question

Solve the equations using properties of logs:

a.) 3log[11](x) = 2log[11]8 b.) 2log[5](x) = 3log[5]9

the brackets are around the base

Answer 1

a.) 3log[11](x) = 2log[11]8
see, logarithms are monotonically increasing functions , hence there will be only one solution .
log[11](x) = 2/3log[11]8
=> x= 8^2/3