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Question
If (23)2 = 4x, then 3x =
Options
3
6
9
27
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Solution
We have to find the value of `3^x`provided `(2^3)^2 = 4`
So,
`2^(3xx 2) = 2^(2x)`
`2^6 = 2^(2x)`
By equating the exponents we get
`6=2x`
`6/2 = x`
`3=x`
By substituting in `3^x`we get
`3^x = 3^3`
`=27`
The value of`3^x` is 27
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