What is the answer to 2^{3x}=172 ?

The answer to 2^{3x}=172 is x=(ln(172))/(3ln(2))

Solve for x: 2^{3x}=172

The solution is x=(ln(172))/(3ln(2))

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2^{3 x} = 172

x = \frac{ln ( 172 )}{3 ln ( 2 )}

Decimal Notation

x = 2.47542 \dots

Solution steps

2^{3 x} = 172

Apply exponent rules

3 x ln (2) = ln (172)

Solve

3 x ln (2) = ln (172) : x = \frac{ln ( 172 )}{3 ln ( 2 )}

x = \frac{ln ( 172 )}{3 ln ( 2 )}

y, x = 2 e^{- y}

e^{2 x} + 2 e^{x} = 15

e^{x} - x = 1

e^{x} - x = 2

3^{x + 1} = 3^{2 x - 1} + 6

What is the answer to 2^{3x}=172 ?
The answer to 2^{3x}=172 is x=(ln(172))/(3ln(2))
Solve for x: 2^{3x}=172
The solution is x=(ln(172))/(3ln(2))