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Question
If 24 × 42 =16x, then find the value of x.
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Solution
We have to find the value of x provided `2 ^4xx 4^2 = 16^x`
So,
`2 ^4xx 4^2 = 16^x`
`2 ^4xx 2^4 = 2^(4_x)`
`2 ^(4+4) = 2^(4_x)`
By equating the exponents we get
4 + 4 + = 4x
8 = 4x
`8/4 = x `
2=x
Hence the value of x is 2 .
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