Urgent homework Logarithms

[astonky]

Can anyone please explain how to solve questions like these:

a)    4log₃x=log_x3

b)    3log₂x+log₂27=3

 

Thanks a lot in advance.

 

[Steffen]

Use properties of logarithms (Product, quotient power, change of base, etc.). atleast for a) I would suggest you change the base of log_x to log₃ so you can apply other properties in order to isolate x.

[astonky]

3 hours ago, Steffen said:

Use properties of logarithms (Product, quotient power, change of base, etc.). atleast for a) I would suggest you change the base of log_x to log₃ so you can apply other properties in order to isolate x.

So you mean 4log₃x= log₃3/log₃x

4log₃x * log₃x=1

And from there onwards?

 

[Steffen]

On 21/8/2016 at 5:05 PM, astonky said:

So you mean 4log₃x= log₃3/log₃x

4log₃x * log₃x=1

And from there onwards?

 

Yes.