a) so this is how far i have gotten and i cant figure out what to do next...
so you take the log of both sides like this right?
log10^(x+3) = log6^2x ?
and then it will turn into this:
(x+3)log10 = 2xlog6
and then that becomes:
x+3 = 2xlog6 => what to do next is where i am lost : /
**************************************…
also this problem I don't even know how to begin to start it....
5ln(3-x) = 4
so you take the log of both sides like this right?
log10^(x+3) = log6^2x ?
and then it will turn into this:
(x+3)log10 = 2xlog6
and then that becomes:
x+3 = 2xlog6 => what to do next is where i am lost : /
**************************************…
also this problem I don't even know how to begin to start it....
5ln(3-x) = 4
-
you are on the right track,
continue:
x + 3 = 2x log(6)
x - 2x log(6) = -3
x(1 - 2log(6)) = -3 ← distributive property
x = -3 / (1 - 2log(6))
or
x = -3 / (1 - log(36))
now you can calculate
x ≈ 5.3927
5ln(3 - x) = 4
ln(3 - x) = 4/5
3 - x = e^(4/5) ← basic definition of logs
x = 3 - e^(4/5)
or
x ≈ 0.7745
♣♦
continue:
x + 3 = 2x log(6)
x - 2x log(6) = -3
x(1 - 2log(6)) = -3 ← distributive property
x = -3 / (1 - 2log(6))
or
x = -3 / (1 - log(36))
now you can calculate
x ≈ 5.3927
5ln(3 - x) = 4
ln(3 - x) = 4/5
3 - x = e^(4/5) ← basic definition of logs
x = 3 - e^(4/5)
or
x ≈ 0.7745
♣♦