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

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

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inverse of f(x)= 1/6*10^{x-1}+5

inverse

f (x) = \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) = 2 - x + 5

f (x) = 3 - x^{2}, x \geq 0

2 lo g_{10} (x - 3) + 2

f (x) = ln (1 + x)

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