Is the power property used to rewrite 3Squareroot log(5x-1)=log1/3? this is made up question just for property

Question

 3Squareroot log(5x-1)=log1/3

 

Answer 1

Yes. You would start by dividing both sides by 3, which is equivalent to multiplying both sides by 1/3. On the right, you'd get:

 

(1/3)log(1/3)

 

Then, you'd use the power property b(log(a)) = log(a^b) to make the first 1/3 into an exponent within the log:

 

log((1/3)^1/3)