Logarithms-27

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Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.

5^x = 125

Solution:

5^x = 125

or log₅ 5^x = log₅ 125 [take log₅ at both side]

or,x log₅ 5=log₅ 5³

or,x log₅ 5=3 log₅ 5 [log₅ 5 = 1]

or,x=3