Ok, so
Let's go with the first one:
2*3^(4y) - 11 = 61
2*3^(4y) = 72
3^(4y) = 36.
Applying logarithm properties, we obtain y=0,8155. So, first is r.
Second:
3^(k-2) + 7 = 82.
3^(k-2) = 75
Applying logarithm properties, we obtain y=5.9299. So this is s.
Third:
2 - log(y+5) = log20 - log5
- log(y+5) = log(20/5) - 2
- log(y+5) = 2log(2) - 2
log(y+5) = 2 - 2log2
y+5 = 10^(-2log(2)+2)
y= 20. I don't see the answer.
Fourth:
log2(6x-15) = log2(41-2x)
Applying logarithm properties:
x=7. So this is y.
Fifth:
ln(p^2 - p) = ln(6p+18).
Applying logarithm properties:
We obtain two solutions: x = -2 or x=9. So this is g.
Sixth:
4lnw + 6 = 12.
Applying logarithm properties: w = 4,48. So this is k.
Seventh:
ln(k^2-1) = ln(24) - 1/2 ln(9)
Applying logarithm properties: x = -3 or x =3. So this is ab.
Eigth:
ln8 + ln(n-9) = 5 - ln2
Applying logarithm properties: n = 9,1078. But I don't see the answer.
Ninth:
5-ln(2a-1) = 15
Applying logarithm properties: a = 0,50002, but I don't see the answer.
Tenth:
ln60 - ln4 = ln(x^2 + 2x)
Applying logarithm properties: x= -5 or x=3. So this is L.
Eleventh:
(1/8)
