What is the answer to 446=1.3^{x-1} ?

The answer to 446=1.3^{x-1} is x=(ln(446))/(ln(1.3))+1

Solve for x: 446=1.3^{x-1}

The solution is x=(ln(446))/(ln(1.3))+1

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446 = 1. 3^{x - 1}

x = \frac{ln ( 446 )}{ln ( 1.3 )} + 1

Decimal Notation

x = 24.25133 \dots

Solution steps

446 = 1. 3^{x - 1}

Apply exponent rules

ln (446) = (x - 1) ln (1.3)

Solve

ln (446) = (x - 1) ln (1.3) : x = \frac{ln ( 446 )}{ln ( 1.3 )} + 1

x = \frac{ln ( 446 )}{ln ( 1.3 )} + 1

2^{8} = 8^{x}

(3^{x + 1})^{2} = 8 1^{2 x - 4}

5^{2 x + 3} = 30

e^{3 x} - 2 e^{2 x} + 1 = 0

5^{2 x} + 125 \cdot 5^{- 2 x} = 30

What is the answer to 446=1.3^{x-1} ?
The answer to 446=1.3^{x-1} is x=(ln(446))/(ln(1.3))+1
Solve for x: 446=1.3^{x-1}
The solution is x=(ln(446))/(ln(1.3))+1