Question

If log2= 0.314, an log3 = 0.412 then find log5=?

Answer 1

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Answer 2

㏒ 5 =  0.5358

Step-by-step explanation:

㏒ 2 = 0.314 & ㏒ 3 = 0.412

we know that ㏒ (a +b) = ㏒a + ㏒ (1+ $\frac{b}{a}$)

Thus ㏒5 = ㏒ (3 + 2)

⇒ ㏒ (3 + 2) = ㏒3 + ㏒ (1+ $\frac{2}{3}$ )

⇒ ㏒ 5 = 0.314 + 0.22

⇒ ㏒ 5 =  0.5358

Thus the value of ㏒ 5 =  0.5358