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Solve for x : 7^(x)=18.52...

Solve for x : `7^(x)=18.52`

A

`2.65`

B

`0.18`

C

`21.9`

D

`1.5`

Text Solution

Verified by Experts

The correct Answer is:
D
`log 7^(x)=log 18.52`
`x(log 7)=log 18.52`
`x = (log 18.52)/(log 7)`
`x ~~ 1.5`.
It is best, however, to use the calculator on the last step and enter both log functions in the same set of keystrokes. If you calculate the log of 18.52 alone, you will get 1.267640982. You could make careless errors and waste precious time as you try to retype this number into the calculator. Another approach to this problem could be to try each answer choice, using the power key on your keyped.
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