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Popular >

inverse of 3^{2x-1}

Solution

inverse

3^{2 x - 1}

Solution

\frac{ln ( 3 x )}{2 ln ( 3 )}

Solution steps

y = 3^{2 x - 1}

Replace

x

with

y

x = 3^{2 y - 1}

Solve for

y, x = 3^{2 y - 1}

\frac{ln ( 3 x )}{2 ln ( 3 )}

Popular Examples

amplitude of-5sin(29(x-3))-8 amplitude

- 5 sin (29 (x - 3)) - 8

domain of f(x)=(3x-4)/(x+2)domain

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

monotone x^{2/3}-x^{1/3}monotone intervals

x^{\frac{2}{3}} - x^{\frac{1}{3}}

extreme y=x^3-12x+6 extreme points

y = x^{3} - 12 x + 6

intercepts of f(x)=((2x-4)(x+1))/(x+1)intercepts

f (x) = \frac{( 2 x - 4 ) ( x + 1 )}{x + 1}

Frequently Asked Questions (FAQ)

What is the inverse of 3^{2x-1} ?
The inverse of 3^{2x-1} is (ln(3x))/(2ln(3))