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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

y = 5^{x - 3}

Replace

x

with

y

x = 5^{y - 3}

Solve for

y, x = 5^{y - 3}

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

Popular Examples

global 3x^2+5x+2 global extreme points

3 x^{2} + 5 x + 2

range of (5x+9)/(4x-5)range

\frac{5 x + 9}{4 x - 5}

domain of y=x^3-5x^2+3x+2 domain

y = x^{3} - 5 x^{2} + 3 x + 2

range of f(x)=x^2-8x+7 range

f (x) = x^{2} - 8 x + 7

slope of-13 slope

- 13

Frequently Asked Questions (FAQ)

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