What is the answer to 100=2580(0.94)^x-180 ?

The answer to 100=2580(0.94)^x-180 is x=(ln(14/129))/(ln(0.94))

Solve for x: 100=2580(0.94)^x-180

The solution is x=(ln(14/129))/(ln(0.94))

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100 = 2580 (0.94)^{x} - 180

x = \frac{ln ( \frac{14}{129} )}{ln ( 0.94 )}

Decimal Notation

x = 35.89075 \dots

Solution steps

100 = 2580 (0.94)^{x} - 180

Switch sides

2580 \cdot 0.9 4^{x} - 180 = 100

Move

180

to the right side

2580 \cdot 0.9 4^{x} = 280

Divide both sides by

2580

0.9 4^{x} = \frac{14}{129}

Apply exponent rules

x ln (0.94) = ln (\frac{14}{129})

Solve

x ln (0.94) = ln (\frac{14}{129}) : x = \frac{ln ( \frac{14}{129} )}{ln ( 0.94 )}

x = \frac{ln ( \frac{14}{129} )}{ln ( 0.94 )}

x, e^{x y + 1} = 5

9^{x + 1} = 6561

ln (e^{0.05 \cdot t}) = ln (2)

5^{x} = 62 5^{3 + x}

e^{x} - 2 + x = 0

What is the answer to 100=2580(0.94)^x-180 ?
The answer to 100=2580(0.94)^x-180 is x=(ln(14/129))/(ln(0.94))
Solve for x: 100=2580(0.94)^x-180
The solution is x=(ln(14/129))/(ln(0.94))