What is the inverse of y=-log_{10}(1.074x+7)+2 ?

The inverse of y=-log_{10}(1.074x+7)+2 is (10^{-x+5}-7000)/(1074)

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inverse of y=-log_{10}(1.074x+7)+2

inverse

y = - lo g_{10} (1.074 x + 7) + 2

\frac{1 0 ^{- x + 5} - 7000}{1074}

Solution steps

y = - lo g_{10} (1.074 x + 7) + 2

Replace

x

with

y

x = - lo g_{10} (1.074 y + 7) + 2

Solve for

y, x = - lo g_{10} (1.074 y + 7) + 2

\frac{1 0 ^{- x + 5} - 7000}{1074}

What is the inverse of y=-log_{10}(1.074x+7)+2 ?
The inverse of y=-log_{10}(1.074x+7)+2 is (10^{-x+5}-7000)/(1074)