Write ln 5x3y3 as the sume or differences of logarithms

Question

1. Solve (½) = (x/4)^1/4

2. Solve Log₅(5x/(x-2)) = 2  for all values of x.

3. Write ln (5x³y³) as the sume or differences of logarithms.

4. Solve 2 ln (x+1)=  ln (x² - 1) 5 for all values of x.

5. Express 7 ln x-3(ln x³ + 5 ln x) as a single logarithm.

6. Translate log 26.3 = 1.42 into its equivalent exponential form.

7. Translate 5⁴ =625 into its equivalent exponential form.

8. What type of function is f(x) = 6^x?