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Popular >

inverse of 5^{sqrt(x)}

Solution

inverse

5^{x}

Solution

\frac{ln ^{2} ( x )}{ln ^{2} ( 5 )}

Solution steps

y = 5^{x}

Replace

x

with

y

x = 5^{y}

Solve for

y, x = 5^{y}

\frac{ln ^{2} ( x )}{ln ^{2} ( 5 )}

Popular Examples

inverse of f(x)=2tan^2(t)+4tan(t)-3=0 inverse

f (x) = 2 tan^{2} (t) + 4 tan (t) - 3 = 0

inverse of f(x)=\sqrt[3]{(x-1)}inverse

inverse of 5/(x+10)inverse

\frac{5}{x + 10}

inverse of 3ln(3x+5)-2 inverse

3 ln (3 x + 5) - 2

inverse of 8x^3-1 inverse

8 x^{3} - 1

Frequently Asked Questions (FAQ)

What is the inverse of 5^{sqrt(x)} ?
The inverse of 5^{sqrt(x)} is (ln^2(x))/(ln^2(5))