What is the answer to 25.4=2.21365^x ?

The answer to 25.4=2.21365^x is x=(ln(25.4))/(ln(2.21365))

Solve for x: 25.4=2.21365^x

The solution is x=(ln(25.4))/(ln(2.21365))

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25.4 = 2.2136 5^{x}

x = \frac{ln ( 25.4 )}{ln ( 2.21365 )}

Decimal Notation

x = 4.07069 \dots

Solution steps

25.4 = 2.2136 5^{x}

Apply exponent rules

ln (25.4) = x ln (2.21365)

Solve

ln (25.4) = x ln (2.21365) : x = \frac{ln ( 25.4 )}{ln ( 2.21365 )}

x = \frac{ln ( 25.4 )}{ln ( 2.21365 )}

t, e^{k t} = \frac{1}{3}

(e^{- 2})^{x} = e^{5}

1.74 \cdot e^{1} 3 = 1 \cdot e^{x}

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

1.0 5^{n} = 2

What is the answer to 25.4=2.21365^x ?
The answer to 25.4=2.21365^x is x=(ln(25.4))/(ln(2.21365))
Solve for x: 25.4=2.21365^x
The solution is x=(ln(25.4))/(ln(2.21365))