Solve Inx = 2 + In(x-4). Give the exact answer then use a calculator to find an approximate answer.

x = 4e² / (e² − 1)

x ≈ 4.626

Step-by-step explanation:

ln x = 2 + ln(x − 4)

e^(ln x) = e^(2 + ln(x − 4))

x = e^(2 + ln(x − 4))

x = e² e^(ln(x − 4))

x = e² (x − 4)

x = e² x − 4e²

4e² = e² x − x

4e² = x (e² − 1)

x = 4e² / (e² − 1)

x ≈ 4.626

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse