Relations and Functions II
If g is the inverse of a function f and f′(x)=1+x51then g(x) is equal to
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If =(ey−x)−1, where y(0)=0, then y is expressed explicitly as
Solve: log10(512 )+log10(2125 )−log10(72 )
log28=3 means log82=a1 then a=
If $$f:R\rightarrow R$$ and $$g:R\rightarrow R$$ are defined by $$f\left( x \right) =x-\left[ x \right]$$ and $$ g\left( x \right) =\left[ x \right]$$ for $$x\in R$$,where $$[x]$$ is the greatest integer not exceeding $$x$$,then for every $$x\in R$$,$$f(g(x))$$ is equal to
Express the each of following in exponential form:logaA=x
Solve: 2log2(log2x ) +log21 (log222x ) =1
If log2x=a and log5y=a, write 1002a−1 in terms of x and y.