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
2 answers:
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.
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>
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