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Popular >

inverse of f(x)=log_{5}(x-1)

Solution

inverse

f (x) = lo g_{5} (x - 1)

Solution

5^{x} + 1

Solution steps

y = lo g_{5} (x - 1)

Replace

x

with

y

x = lo g_{5} (y - 1)

Solve for

y, x = lo g_{5} (y - 1)

5^{x} + 1

Popular Examples

periodicity of f(x)=5csc(x)periodicity

f (x) = 5 csc (x)

range of x^3-7x+6 range

x^{3} - 7 x + 6

extreme y=180x-0.3x^3 extreme points

y = 180 x - 0.3 x^{3}

range of x^2+8x+6 range

x^{2} + 8 x + 6

domain of f(x)=(x^4)/(x^2+x-56)domain

f (x) = \frac{x ^{4}}{x ^{2} + x - 56}

Frequently Asked Questions (FAQ)

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