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What is x given that `log_5 (x^18) = 360`

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lxsptter | Student, Undergraduate | (Level 2) Valedictorian

Posted February 3, 2012 at 2:19 PM via web

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What is x given that `log_5 (x^18) = 360`

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted February 3, 2012 at 2:24 PM (Answer #1)

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The value of x has to be determined given that `log_5 x^18 = 360`

Use the property of logarithm log a^b = b*log a

`log_5 x^18 = 360`

=> `18*log_5 x = 360`

=> `log_5 x = 360/18`

=> `log_5 x = 20`

=> x = 5^20

The value of x = 5^20

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hina0000 | Student, Grade 9 | (Level 1) Honors

Posted February 3, 2012 at 9:38 PM (Answer #2)

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as usual log=a^b

solution: 18.log 5 x=360

                       5 x =360/18

                       5 x =20

                         x =5^20

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