Question

Determine o valor de a.b em cada caso:(a)Log a 25=2  e  Log 3 b=4(b)Log a 27=3  e  Log 4 b=1(c)Log a 32=5  e  Log 5 b=3

Answer 1

:(a)Log a 25=2  ==> a^2 = 25 ==> a = 5

Log 3 b=4 ==> b = 3~4 ==> b = 81
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(b)Log a 27=3 a^3 = 27 ==> a^3 = 3^3 ==> a = 3

Log 4 b=1 ==> b = 4^1 ==> b = 4
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(c)Log a 32=5 ==> a^5 = 32 ==> a^5 = 2^5 ==> a = 2

Log 5 b=3 ==> b = 5^3 ==> b = 125