Please help! If you can only answer one id be very thankful.?

Question

1. if log2^x=3 then x=


2. if logx^5=1.5 then x=

this is what this one looks like to me
3. 10^log10(100)
not really sure


4. For a> 0 and b>0, log a/b


5. if log a^2=x and log a^3=y, then log a^12=

Answer 1

1. log2^x=3
xlog2=3
x=3/log2
2. logx^5=1.5
5logx=1.5
logx=0.3
x=antilog(0.3)
3. Not clear
4.loga/b=log(a) - log (b)
5.loga^12
=log(a^2)^6
=6log(a^2)
=6x
Another solution
loga^12
=log(a^3)^4
=4log(a^3)
=4y

Answer 2

4. If a and b both > 0, log a/b = log a - log b

5. log a^12 = 2xy