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InterviewSolution
| 1. |
Pls solve the question given in the image with explanation. |
| Answer» <html><body><p><strong>Answer:</strong></p><p></p><p><strong>Step-by-step explanation:</strong></p><p>60ᵃ = 3</p><p>//Take log to base 60 on both sides</p><p>Log₆₀60ᵃ = Log₆₀3</p><p>=> a = Log₆₀3</p><p>60ᵇ = 5</p><p>//Take log to base 60 on both sides</p><p>Log₆₀60ᵇ = Log₆₀5</p><p>=> b = Log₆₀5</p><p>Now we need to <a href="https://interviewquestions.tuteehub.com/tag/find-11616" style="font-weight:bold;" target="_blank" title="Click to know more about FIND">FIND</a> <a href="https://interviewquestions.tuteehub.com/tag/value-1442530" style="font-weight:bold;" target="_blank" title="Click to know more about VALUE">VALUE</a> of 12 ¹⁻ᵃ⁻ᵇ/<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>(1-b) </p><p> First simplify the value in the <a href="https://interviewquestions.tuteehub.com/tag/power-2475" style="font-weight:bold;" target="_blank" title="Click to know more about POWER">POWER</a>: </p><p>1 - a - b/2(1-b) 1 -(a+b)/2(1-b) = 1 - (Log₆₀3 + Log₆₀5) / 2 ( 1 - Log₆₀5)</p><p> = 1 - Log₆₀15 / 2 ( 1 - Log₆₀5)</p><p> = Log₆₀60 - Log₆₀15 / 2 (Log₆₀60 - Log₆₀5)</p><p> = Log₆₀(60/15) / 2 * Log₆₀(60/5)</p><p> = Log₆₀4 / 2Log₆₀12</p><p> = 2Log₆₀2/2Log₆₀12</p><p> = Log₆₀2 / Log₆₀12</p><p> = Log₁₂2.</p><p>So 12 ¹⁻ᵃ⁻ᵇ/2(1-b) = (12)∧ Log₁₂2 = 2.</p></body></html> | |