Math, asked by suhita0101, 8 months ago

pleasesolve this question​

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Answered by Stylish45
1

Step-by-step explanation:

x ^{1 +  log(x) }  = 10 ^{x}  \\ taking \: log \: on \: both \: sides \\  log(x ^{1 +  log(x) } )  =  log(10 ^{x} )  \\ { log(m ^{n} )  = n log(m) } \\  \\ (1 +  log(x) ) log(x)  = x log(10)  \\ x =  \frac{(1 +  log(x)) log(x)  }{ log(10) }  \\ x =  \frac{(1 +  log(x)) x  }{10}  \\ 1 +  log(x)  = 10 \\  log(x)  = 9

Hope it will help you

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