What is the answer to 50*1.4^t=10000 ?

The answer to 50*1.4^t=10000 is t=(ln(200))/(ln(1.4))

Solve for t: 50*1.4^t=10000

The solution is t=(ln(200))/(ln(1.4))

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50 \cdot 1. 4^{t} = 10000

t = \frac{ln ( 200 )}{ln ( 1.4 )}

Decimal Notation

t = 15.74667 \dots

Solution steps

50 \cdot 1. 4^{t} = 10000

Divide both sides by

50

1. 4^{t} = 200

Apply exponent rules

t ln (1.4) = ln (200)

Solve

t ln (1.4) = ln (200) : t = \frac{ln ( 200 )}{ln ( 1.4 )}

t = \frac{ln ( 200 )}{ln ( 1.4 )}

3 e^{x} + 4 e^{- x} = 7

2 7^{\frac{2}{x}} = 9

2 (2^{2 x}) - 9 (2^{x}) + 4 = 0

1 0^{x - 2} = 70

2^{4 x - 1} = 3^{x}

What is the answer to 50*1.4^t=10000 ?
The answer to 50*1.4^t=10000 is t=(ln(200))/(ln(1.4))
Solve for t: 50*1.4^t=10000
The solution is t=(ln(200))/(ln(1.4))