Solve the following logarithmic equations: (Criteria A)a) log4(2x+1)=2b) 3log(x−2)=6c) 4ln(2x+3)=4d) log3(x+1)−log3(2x−1)=1e) 2loga(3x+1)=loga(9)

Question

Solve the following logarithmic equations: (Criteria A)a) log4(2x+1)=2b) 3log(x−2)=6c) 4ln(2x+3)=4d) log3(x+1)−log3(2x−1)=1e) 2loga(3x+1)=loga(9)
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Solution 1

Sure, let's solve these logarithmic equations one by one:

a) log4(2x+1)=2 To solve this, we can rewrite the equation in exponential form: 4^2 = 2x + 1 16 = 2x + 1 Subtract 1 from both sides: 15 = 2x Divide by 2: x = 15/2 = 7.5

b) 3log(x−2)=6 First, divide both sides by 3: log(x-2) = 2 Rewrite in e Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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