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Popular >

inverse of f(x)=10(5)^x

Solution

inverse

f (x) = 10 (5)^{x}

Solution

\frac{ln ( \frac{x}{10} )}{ln ( 5 )}

Solution steps

y = 10 \cdot 5^{x}

Replace

x

with

y

x = 10 \cdot 5^{y}

Solve for

y, x = 10 5^{y}

\frac{ln ( \frac{x}{10} )}{ln ( 5 )}

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=10(5)^x ?
The inverse of f(x)=10(5)^x is (ln(x/(10)))/(ln(5))