Let me go through the equations and solve them step by step. I'll start with the first few.

1. $\log(x-1) = 2$
This is a logarithmic equation. We can rewrite this as:
$x - 1 = 10^2 = 100$ So, $x = 101$

2. $\log_4 \log_2 x = \frac{1}{2}$
First, isolate $\log_2 x$:
$\log_2 x = 4^{1/2} = 2$ Now solve for $x$:
$x = 2^2 = 4$

3. $\log_2 x + 3 = 2 \log_2 x^2$
Rewrite the equation: $\log_2 x + 3 = 2 \cdot 2 \log_2 x$ $\log_2 x + 3 = 4 \log_2 x$ Now isolate the terms with $\log_2 x$: $3 = 3 \log_2 x$ $\log_2 x = 1$ Thus,
$x = 2^1 = 2$

I'll continue solving the rest of the equations in the image. Would you like me to go ahead with this?