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Popular Functions >

inverse of f(x)=5^{x-7}

Solution

inverse

f (x) = 5^{x - 7}

Solution

\frac{ln ( x )}{ln ( 5 )} + 7

Solution steps

y = 5^{x - 7}

Replace

x

with

y

x = 5^{y - 7}

Solve for

y, x = 5^{y - 7}

\frac{ln ( x )}{ln ( 5 )} + 7

Graph

Popular Examples

domain of-7/(2x^{3/2)}

d o main - \frac{7}{2 x ^{\frac{3}{2}}}

range of f(x)=(3x+6)/(x-1)

r an g e f (x) = \frac{3 x + 6}{x - 1}

range of f(x)=((x+3))/((x+1))

r an g e f (x) = \frac{( x + 3 )}{( x + 1 )}

domain of sqrt(x+9)+sqrt(x+8)

d o main x + 9 + x + 8

line (-3,2),(2,-6)

l in e (- 3, 2), (2, - 6)

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=5^{x-7} ?
The inverse of f(x)=5^{x-7} is (ln(x))/(ln(5))+7