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What is the value of x if 4.18^(x)=36.54...

What is the value of x if `4.18^(x)=36.54` ?

A

`0.86`

B

`1.43`

C

`1.80`

D

`2.52`

Text Solution

Verified by Experts

The correct Answer is:
D
Begin to solve the equation `4.18^(x)=36.54` by taking the natural logrithm of both sides. Use the calculator when it is time to find the approximate value of x.
`ln (4.18^(x))=ln 36.54`
`x ln 4.18 = ln 36.54`
`x = (ln 36.54)/(ln 4.18)~~ 2.52`
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