Writing expression as a single logorithm!! Helpp!!!!

[Iknownothing17]

Ok I am supposed to combine the two logorithms and I keep getting 13/6 log 3 but idk if I am rite! Am I doing it right please help??

Ok this equation is -2log3 1/x + 1/3log3 sqrt x


Note: log3 is supposed to b log base 3 helllppp!!!

 

[Denis]

That's NOT an equation.

 

[Iknownothing17]

Uhm actually it is an equation
-2log3 1/x + 1/3 log3 x

 

[skeeter]

Uhm actually it is an equation
-2log3 1/x + 1/3 log3 x

what you have written is a logarithmic expression, not an equation.

if you need to simplify the expression ...

\(\displaystyle \L -2\log_3 \left(\frac{1}{x}\right) + \frac{1}{3} \log_3(x)\)

\(\displaystyle \L 2\log_3 \left(\frac{1}{x}\right)^{-1} + \frac{1}{3} \log_3 (x)\)

\(\displaystyle \L 2\log_3(x) + \frac{1}{3} \log_3(x)\)

\(\displaystyle \L \frac{7}{3} \log_3(x)\)