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Question
If 10x = 64, what is the value of \[{10}^\frac{x}{2} + 1 ?\]
Options
18
42
80
81
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Solution
We have to find the value of `10^(x/2+1)`provided `10^x = 64`
So,
`10^(x/2 xx 1) = 10^(x xx1/2) xx 10^1`
`= 2sqrt(10^x) xx 10^1`
By substituting `10x = 64 `we get
`=2sqrt 64 xx 10^1`
`=2sqrt (8xx8 )xx10`
`=8xx10`
`= 80`
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