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Popular >

inverse of 6log_{3}(5x+6)

Solution

inverse

6 lo g_{3} (5 x + 6)

Solution

\frac{3 ^{\frac{x}{6}} - 6}{5}

Solution steps

y = 6 lo g_{3} (5 x + 6)

Replace

x

with

y

x = 6 lo g_{3} (5 y + 6)

Solve for

y, x = 6 lo g_{3} (5 y + 6)

\frac{3 ^{\frac{x}{6}} - 6}{5}

Popular Examples

domain of f(x)=sqrt(x-18)domain

f (x) = x - 18

asymptotes of f(x)=(x^3-64)/(x^2-5x+4)asymptotes

f (x) = \frac{x ^{3} - 64}{x ^{2} - 5 x + 4}

domain of (x+4)/(x^2-36)domain

\frac{x + 4}{x ^{2} - 36}

parity f(x)=(5-x^8)/(2x^3-7x+1)parity

f (x) = \frac{5 - x ^{8}}{2 x ^{3} - 7 x + 1}

domain of f(x)=(15)/(3x+4)domain

f (x) = \frac{15}{3 x + 4}

Frequently Asked Questions (FAQ)

What is the inverse of 6log_{3}(5x+6) ?
The inverse of 6log_{3}(5x+6) is (3^{x/6}-6)/5