I see you've uploaded a math exercise sheet containing equations to solve. It seems like you need help solving some of them. Let's go through a few of the problems:

a) $20^{3x-7} = 2 \cdot 8^{2x-5}$

This equation involves exponents and bases. We can first express $8$ as $2^3$ to simplify it.

So, the equation becomes: $20^{3x - 7} = 2 \cdot (2^3)^{2x - 5}$ Now, we simplify and solve for $x$.

b) $4^{x} = \frac{6.05 \cdot x}{3}$

This equation has both an exponential term and a linear term. To solve it, we would need to take the logarithm of both sides.

c) $x^{7 + 3 \log(x)} = 10 \cdot x^5$

Here, we can apply logarithmic properties to simplify the equation. First, take the logarithm of both sides.

d) $5^{3x} = 5^{2x + 12}$

This equation has the same base on both sides, so we can set the exponents equal to each other to solve for $x$.

Would you like me to start solving any of these or do you have specific questions about any of the exercises?