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Official Specimen Paper 1 · Q5

Paper 1Powers & logarithms

Given that y=−log⁡10(1−x)y=-\log_{10}(1-x) for x<1x<1, find xx in terms of yy.

Ax=−1log⁡10(1−y)x=-\dfrac1{\log_{10}(1-y)}
Bx=1+log⁡10yx=1+\log_{10}y
Cx=1−log⁡10yx=1-\log_{10}y
Dx=1−10−yx=1-10^{-y}
Ex=10−y−1x=10^{-y}-1
Fx=101−yx=10^{1-y}

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