What is the answer to 400=100(1+2337)^X ?

The answer to 400=100(1+2337)^X is X=(2ln(2))/(ln(2338))

Solve for X: 400=100(1+2337)^X

The solution is X=(2ln(2))/(ln(2338))

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400 = 100 (1 + 2337)^{X}

X = \frac{2 ln ( 2 )}{ln ( 2338 )}

Decimal Notation

X = 0.17871 \dots

Solution steps

400 = 100 (1 + 2337)^{X}

Switch sides

100 (1 + 2337)^{X} = 400

Divide both sides by

100

(1 + 2337)^{X} = 4

Apply exponent rules

X ln (1 + 2337) = ln (4)

Solve

X ln (1 + 2337) = ln (4) : X = \frac{2 ln ( 2 )}{ln ( 2338 )}

X = \frac{2 ln ( 2 )}{ln ( 2338 )}

8^{3^{2 x}} = 51 2^{3^{x}}

2 = 5^{x}

e^{- x} = 0.549

1 0^{5 x + 1} = 6^{x}

2^{3 x} = 34

What is the answer to 400=100(1+2337)^X ?
The answer to 400=100(1+2337)^X is X=(2ln(2))/(ln(2338))
Solve for X: 400=100(1+2337)^X
The solution is X=(2ln(2))/(ln(2338))