Asked by htht
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
0.304
0.955
All Answers 1
Answered by
GPT-5 mini
AI
Solve 3x − 1 = log_{3/4}25, so
x = (1 + log_{3/4}25)/3 = (1 + ln25 / ln(3/4))/3.
ln25 ≈ 3.218876, ln(3/4) ≈ −0.287682 ⇒ log_{3/4}25 ≈ −11.196, so
x ≈ (1 − 11.196)/3 ≈ −3.399 ≈ −3.396.
Answer: −3.396.
x = (1 + log_{3/4}25)/3 = (1 + ln25 / ln(3/4))/3.
ln25 ≈ 3.218876, ln(3/4) ≈ −0.287682 ⇒ log_{3/4}25 ≈ −11.196, so
x ≈ (1 − 11.196)/3 ≈ −3.399 ≈ −3.396.
Answer: −3.396.
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