What is the inverse of f(x)=5^{x+1}-3 ?

The inverse of f(x)=5^{x+1}-3 is (ln(x+3))/(ln(5))-1

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inverse of f(x)=5^{x+1}-3

inverse

f (x) = 5^{x + 1} - 3

\frac{ln ( x + 3 )}{ln ( 5 )} - 1

Solution steps

y = 5^{x + 1} - 3

Replace

x

with

y

x = 5^{y + 1} - 3

Solve for

y, x = 5^{y + 1} - 3

\frac{ln ( x + 3 )}{ln ( 5 )} - 1

\frac{1}{x + 12}

f (x) = 10 (5)^{x}

f (x) = x^{2} + 6 x - 3

tan (\frac{40}{60})

f (x) = 1 - 2^{x}

What is the inverse of f(x)=5^{x+1}-3 ?
The inverse of f(x)=5^{x+1}-3 is (ln(x+3))/(ln(5))-1