What is the answer to solvefor x,f=m*6^{-x} ?

The answer to solvefor x,f=m*6^{-x} is x=-(ln(f/m))/(ln(6))

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solvefor x,f=m*6^{-x}

solve for

x, f = m \cdot 6^{- x}

x = - \frac{ln ( \frac{f}{m} )}{ln ( 6 )}

Solution steps

f = m \cdot 6^{- x}

Switch sides

m \cdot 6^{- x} = f

Divide both sides by

m

6^{- x} = \frac{f}{m}

Apply exponent rules

- x ln (6) = ln (\frac{f}{m})

Solve

- x ln (6) = ln (\frac{f}{m}) : x = - \frac{ln ( \frac{f}{m} )}{ln ( 6 )}

x = - \frac{ln ( \frac{f}{m} )}{ln ( 6 )}

x, y + 2 y = 2 e^{x}

lo g_{3} (8 1^{x}) = 16

3 e^{5 x} = 10

1 + 6 e^{- t} = e^{t}

7^{x} = 9

What is the answer to solvefor x,f=m*6^{-x} ?
The answer to solvefor x,f=m*6^{-x} is x=-(ln(f/m))/(ln(6))