What is the answer to 2.2^x=8 ?

The answer to 2.2^x=8 is x=(3ln(2))/(ln(2.2))

The solution is x=(3ln(2))/(ln(2.2))

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2.2^x=8

2. 2^{x} = 8

x = \frac{3 ln ( 2 )}{ln ( 2.2 )}

Decimal Notation

x = 2.63735 \dots

Solution steps

2. 2^{x} = 8

Apply exponent rules

x ln (2.2) = ln (8)

Solve

x ln (2.2) = ln (8) : x = \frac{3 ln ( 2 )}{ln ( 2.2 )}

x = \frac{3 ln ( 2 )}{ln ( 2.2 )}

3^{x^{2}} = 9^{- x + 12}

3^{- x} = \frac{1}{3 ^{x}}

4^{2 x} - 68 \cdot 4^{x} + 256 = 0

x, 4^{3 x} = 4^{x - 1}

3 = 5^{x}