What is the answer to 25=75(0.5)^{x/9} ?

The answer to 25=75(0.5)^{x/9} is x=-(9ln(3))/(ln(0.5))

Solve for x: 25=75(0.5)^{x/9}

The solution is x=-(9ln(3))/(ln(0.5))

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25 = 75 (0.5)^{\frac{x}{9}}

x = - \frac{9 ln ( 3 )}{ln ( 0.5 )}

Decimal Notation

x = 14.26466 \dots

Solution steps

25 = 75 (0.5)^{\frac{x}{9}}

Switch sides

75 \cdot 0. 5^{\frac{x}{9}} = 25

Divide both sides by

75

0. 5^{\frac{x}{9}} = \frac{1}{3}

Apply exponent rules

\frac{x}{9} ln (0.5) = ln (\frac{1}{3})

Solve

\frac{x}{9} ln (0.5) = ln (\frac{1}{3}) : x = - \frac{9 ln ( 3 )}{ln ( 0.5 )}

x = - \frac{9 ln ( 3 )}{ln ( 0.5 )}

0.46 = e^{- x \cdot 1000}

256 e^{2 x} = 1400

2^{x^{2} - 7 x + 16} = 16

8 1^{p} = 3

9^{2 x + 3} = 2 7^{x + 5}

What is the answer to 25=75(0.5)^{x/9} ?
The answer to 25=75(0.5)^{x/9} is x=-(9ln(3))/(ln(0.5))
Solve for x: 25=75(0.5)^{x/9}
The solution is x=-(9ln(3))/(ln(0.5))