Simplify by moving inside the logarithm.

Apply the product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Simplify by moving inside the logarithm.

Use the product property of logarithms, .

Simplify/Condense 2 log base 5 of 5x^3+1/3* log base 5 of x^2+6