What is the answer to (2/3)^x=8 ?

The answer to (2/3)^x=8 is x=(3ln(2))/(ln(2/3))

Solve for x: (2/3)^x=8

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

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(\frac{2}{3})^{x} = 8

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

Decimal Notation

x = - 5.12853 \dots

Solution steps

(\frac{2}{3})^{x} = 8

Apply exponent rules

x ln (\frac{2}{3}) = ln (8)

Solve

x ln (\frac{2}{3}) = ln (8) : x = \frac{3 ln ( 2 )}{ln ( \frac{2}{3} )}

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

1 1^{x} = 2

2^{2 x - 1} + 8 = 5 (2^{x})

e^{2 x} - 6 e^{x} - 7 = 0

2 5^{3 x + 1} = 81

e^{- 2 \cdot x} = 1

What is the answer to (2/3)^x=8 ?
The answer to (2/3)^x=8 is x=(3ln(2))/(ln(2/3))
Solve for x: (2/3)^x=8
The solution is x=(3ln(2))/(ln(2/3))