What is the inverse of y= 1/6*10^{x-1}+5 ?

The inverse of y= 1/6*10^{x-1}+5 is (ln(6x-30))/(ln(10))+1

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inverse of y= 1/6*10^{x-1}+5

inverse

y = \frac{1}{6} \cdot 1 0^{x - 1} + 5

\frac{ln ( 6 x - 30 )}{ln ( 10 )} + 1

Solution steps

y = \frac{1}{6} \cdot 1 0^{x - 1} + 5

Replace

x

with

y

x = \frac{1}{6} \cdot 1 0^{y - 1} + 5

Solve for

y, x = \frac{1}{6} \cdot 1 0^{y - 1} + 5

\frac{ln ( 6 x - 30 )}{ln ( 10 )} + 1

f (x) = - x + 1

f (x) = x^{5} + 5

f (x) = \frac{66 x + 2}{22 x - 5}

x = \frac{- 1}{2 ( y - 1 ) 2 + 5}

f (x) = \frac{2 x}{6 - 7 x}

What is the inverse of y= 1/6*10^{x-1}+5 ?
The inverse of y= 1/6*10^{x-1}+5 is (ln(6x-30))/(ln(10))+1