Question

Find the value of 'm' for which 5^m ÷ 5^-3 = 5^5​

Answer 1

5^m ÷ 5 ^ - 3 = 5⁵

125 × 5^m = 3125

5^m = 25

log ( 5^m ) = log ( 25 )

m log ( 5 ) = log ( 25 )

m = log ( 25 ) / log ( 5 )

m = log 5 ( 25 )

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