Consider the equation log(3x - 1) = log28. Explain why 3x - 1 is not equal to 8. Describe the steps you would take to solve the

Question

vlabodo [156]

3 years ago

14

Consider the equation log(3x - 1) = log28. Explain why 3x - 1 is not equal to 8. Describe the steps you would take to solve the

equation, and state what 3x - 1 is equal to

Mathematics

2 answers:

astraxan [27] · Answer 1 · 2022-08-16T11:49:32+03:00

astraxan [27]3 years ago

7 0

Answer:

Answers on edge :)

Step-by-step explanation:

The bases are not the same, so you cannot set 3x - 1 equal to 8.

You can evaluate the logarithm on the right side of the equation to get 3.

You can use the definition of a logarithm to write 3x - 1 = 1000.

irina [24] · Answer 2 · 2022-08-16T10:04:27+03:00

This is because logarithm has its own set of properties that is different from algebra. The term log(3x - 1) is equivalent to log 3x/log 1. If we continue to rearrange and find x, the solution would be:

log(3x - 1) = log28
log 3x/log 1 = log 28
log 3x = log 28 * log 1 = 0
3x = 10⁰ = 1
3x = 1
x = 1/3

<em>So, that means 3x - 1 = 3(1/3) - 1 = 0.</em>