What is the answer to 10000=200000\times (2/3)^x ?

The answer to 10000=200000\times (2/3)^x is x=-(ln(20))/(ln(2/3))

Solve for x: 10000=200000\times (2/3)^x

The solution is x=-(ln(20))/(ln(2/3))

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10000 = 200000 \cdot (\frac{2}{3})^{x}

x = - \frac{ln ( 20 )}{ln ( \frac{2}{3} )}

Solution steps

10000 = 200000 (\frac{2}{3})^{x}

Switch sides

200000 (\frac{2}{3})^{x} = 10000

Divide both sides by

200000

(\frac{2}{3})^{x} = \frac{1}{20}

Apply exponent rules

x ln (\frac{2}{3}) = ln (\frac{1}{20})

Solve

x ln (\frac{2}{3}) = ln (\frac{1}{20}) : x = - \frac{ln ( 20 )}{ln ( \frac{2}{3} )}

x = - \frac{ln ( 20 )}{ln ( \frac{2}{3} )}

4^{3 x - 3} = 3 2^{x - 5}

(\frac{2}{3})^{5 x + 2} = (\frac{3}{2})^{2 x}

144 \cdot 2^{\frac{x}{3}} = 1616

3^{4 x + 1} - 5 = 22

\frac{2 ^{x^{2}}}{4 ^{x}} = 16

What is the answer to 10000=200000\times (2/3)^x ?
The answer to 10000=200000\times (2/3)^x is x=-(ln(20))/(ln(2/3))
Solve for x: 10000=200000\times (2/3)^x
The solution is x=-(ln(20))/(ln(2/3))