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Popular >

inverse of f(x)=log_{2}(3x-2)

Solution

inverse

f (x) = lo g_{2} (3 x - 2)

Solution

\frac{2 ^{x} + 2}{3}

Solution steps

y = lo g_{2} (3 x - 2)

Replace

x

with

y

x = lo g_{2} (3 y - 2)

Solve for

y, x = lo g_{2} (3 y - 2)

\frac{2 ^{x} + 2}{3}

Popular Examples

inverse of f(x)=2+sqrt(4+8x)inverse

f (x) = 2 + 4 + 8 x

inverse of f(x)=((3x+2))/x inverse

f (x) = \frac{( 3 x + 2 )}{x}

inverse of f(x)=x^2-3x-10 inverse

f (x) = x^{2} - 3 x - 10

inverse of arcsec((2sqrt(3))/3)inverse

arcsec (\frac{2 3}{3})

inverse of 5y+4=(x+3)^2+1/2 inverse

5 y + 4 = (x + 3)^{2} + \frac{1}{2}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=log_{2}(3x-2) ?
The inverse of f(x)=log_{2}(3x-2) is (2^x+2)/3