What is the answer to 450000=200000(1.2)^x ?

The answer to 450000=200000(1.2)^x is x=(ln(9/4))/(ln(1.2))

Solve for x: 450000=200000(1.2)^x

The solution is x=(ln(9/4))/(ln(1.2))

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450000 = 200000 (1.2)^{x}

x = \frac{ln ( \frac{9}{4} )}{ln ( 1.2 )}

Decimal Notation

x = 4.44780 \dots

Solution steps

450000 = 200000 (1.2)^{x}

Switch sides

200000 \cdot 1. 2^{x} = 450000

Divide both sides by

200000

1. 2^{x} = \frac{9}{4}

Apply exponent rules

x ln (1.2) = ln (\frac{9}{4})

Solve

x ln (1.2) = ln (\frac{9}{4}) : x = \frac{ln ( \frac{9}{4} )}{ln ( 1.2 )}

x = \frac{ln ( \frac{9}{4} )}{ln ( 1.2 )}

2^{2 x} + 2^{x + 1} - 15 = 0

5^{x^{2}} = 2 5^{6 x - 16}

3^{n} = 1

\frac{1000}{4 + 6 e ^{- t}} = 200

3^{x + 2} = 5^{x}

What is the answer to 450000=200000(1.2)^x ?
The answer to 450000=200000(1.2)^x is x=(ln(9/4))/(ln(1.2))
Solve for x: 450000=200000(1.2)^x
The solution is x=(ln(9/4))/(ln(1.2))