Question

Given that ex = 120, write this as a logarithm, and find the value of x. (Use a calculator)

Question 10 options:

120 ln x = 120e


ln 120 = 4.78749 . . .


ln x = e


ln e = 1

Answer 1

The value of x = ㏑120 =  4.78749 . . .

Since eˣ = 120, taking the natural logarithm of both sides, we have

㏑eˣ = ㏑120

x㏑e = ㏑120

Dividing though by ㏑e, we have

So, x = ㏑120/㏑e

x = ㏑120/1     (since ㏑e = 1)

x = ㏑120

x = 4.78749

So, the value of x = ㏑120 =  4.78749 . . .

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