Explain how to solve 5x − 2 = 8 using the change of base formula log_b of y = log y / log b.
include the solution for x in your answer. round your answer to the nearest thousandth.

Answer with explanation:

The equation is

  5 x-2 =8

Adding 2 on both sides

→5 x-2+2=8+2

→5 x=10

Dividing both sides by,5, we get

→x=2

Using the concept of Logarithms

Gives, x=2.005 (Approx)

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