What is the answer to 3600=(0.78)^x14500 ?

The answer to 3600=(0.78)^x14500 is x=(ln(36/145))/(ln(0.78))

Solve for x: 3600=(0.78)^x14500

The solution is x=(ln(36/145))/(ln(0.78))

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3600 = (0.78)^{x} 14500

x = \frac{ln ( \frac{36}{145} )}{ln ( 0.78 )}

Decimal Notation

x = 5.60737 \dots

Solution steps

3600 = (0.78)^{x} \cdot 14500

Switch sides

0.7 8^{x} \cdot 14500 = 3600

Divide both sides by

14500

0.7 8^{x} = \frac{36}{145}

Apply exponent rules

x ln (0.78) = ln (\frac{36}{145})

Solve

x ln (0.78) = ln (\frac{36}{145}) : x = \frac{ln ( \frac{36}{145} )}{ln ( 0.78 )}

x = \frac{ln ( \frac{36}{145} )}{ln ( 0.78 )}

3^{x} - 6^{3 x + 1} = 0

1200000 = 600000 e^{0.05 t}

9^{x} = 2 7^{x - 2}

e^{2 x} = e^{7 x}

e^{4 x + 4} - e^{- x - 1} = 0

What is the answer to 3600=(0.78)^x14500 ?
The answer to 3600=(0.78)^x14500 is x=(ln(36/145))/(ln(0.78))
Solve for x: 3600=(0.78)^x14500
The solution is x=(ln(36/145))/(ln(0.78))