a)
You can get the same base here since , so that you may write:
Now equate exponents, and solve for .
b)
Use the substitution so that you may nor write:
Now, solve the resulting quadratic, then back substitute for .
c)
Divide through by 3 to get:
Now convert from logarithmic to exponential form and solve for .
d)
Convert from exponential to logarithmic form:
Now solve for using the square root property.
e)
Take the natural log of both sides to get:
Now solve for .