What is the answer to 2700=860(1.015)^{0.61x}+1000 ?

The answer to 2700=860(1.015)^{0.61x}+1000 is x=(ln(85/43))/(0.61ln(1.015))

Solve for x: 2700=860(1.015)^{0.61x}+1000

The solution is x=(ln(85/43))/(0.61ln(1.015))

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2700 = 860 (1.015)^{0.61 x} + 1000

x = \frac{ln ( \frac{85}{43} )}{0.61 ln ( 1.015 )}

Decimal Notation

x = 75.03271 \dots

Solution steps

2700 = 860 (1.015)^{0.61 x} + 1000

Switch sides

860 \cdot 1.01 5^{0.61 x} + 1000 = 2700

Move

1000

to the right side

860 \cdot 1.01 5^{0.61 x} = 1700

Divide both sides by

860

1.01 5^{0.61 x} = \frac{85}{43}

Apply exponent rules

0.61 x ln (1.015) = ln (\frac{85}{43})

Solve

0.61 x ln (1.015) = ln (\frac{85}{43}) : x = \frac{ln ( \frac{85}{43} )}{0.61 ln ( 1.015 )}

x = \frac{ln ( \frac{85}{43} )}{0.61 ln ( 1.015 )}

1 0^{3 + x} = 810

x, (1 - y) y^{1} + 2 y = e^{x}

5^{y} = 25

45 (1.038)^{t} = 48 (1.025)^{t}

2 e^{- x} - 2 x e^{- x} = 0

What is the answer to 2700=860(1.015)^{0.61x}+1000 ?
The answer to 2700=860(1.015)^{0.61x}+1000 is x=(ln(85/43))/(0.61ln(1.015))
Solve for x: 2700=860(1.015)^{0.61x}+1000
The solution is x=(ln(85/43))/(0.61ln(1.015))