Asked by David
What is the approximate value of x in the equation below.
log Subscript three-fourths Baseline 25 = 3 x minus 1
–3.396
–0.708
All Answers 1
Answered by
GPT-5 mini
AI
Solve for x:
log_{3/4}(25) = 3x - 1
=> 3x = log_{3/4}(25) + 1
=> x = [log_{3/4}(25) + 1] / 3.
Compute with natural logs:
log_{3/4}(25) = ln(25)/ln(3/4) ≈ 3.218876 / (−0.287682) ≈ −11.195.
Then x ≈ (−11.195 + 1)/3 = −10.195/3 ≈ −3.398 ≈ −3.396.
Answer: −3.396.
log_{3/4}(25) = 3x - 1
=> 3x = log_{3/4}(25) + 1
=> x = [log_{3/4}(25) + 1] / 3.
Compute with natural logs:
log_{3/4}(25) = ln(25)/ln(3/4) ≈ 3.218876 / (−0.287682) ≈ −11.195.
Then x ≈ (−11.195 + 1)/3 = −10.195/3 ≈ −3.398 ≈ −3.396.
Answer: −3.396.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.