This image contains a set of math problems, specifically dealing with logarithms and exponents. Let me break down the questions for you:

1. Evaluate each of the following:

a) $5^0$
b) $36^{1/2}$
c) $8^{3/4}$
d) $\left( \frac{1}{2} \right)^3$

2. Find the value of $x$ in the following equations:

a) $2^x = 8$
b) $3^{x} = 27$
c) $2^{x+3} = 4^{x+1}$
d) $3^{2x} \times 3^{x+1} = 9$

3. Simplify each of the following as a single logarithm:

a) $\log_8 6 - \log_8 6$
b) $2 \log_9 5 + \log_4 10 - 2 \log_9 4$

4. Solve the following questions using logarithms:

a) $5^x = 15$
b) $22^{2x+1} = 0.01$

5. Solve the equation:

$\log_x x + \log_x (x+6) = 3$

6. Given that $\log_4 4 = 0.6021$ and $\log_3 3 = 0.4771$, find the value of $\log_3 36$.

Would you like me to go over and solve any particular questions from this sheet in detail? Or would you prefer I solve all of them step by step?