What is the answer to 4218.75=4000*(1+0.04)^x ?

The answer to 4218.75=4000*(1+0.04)^x is x=(ln(1.0546875))/(ln(1.04))

Solve for x: 4218.75=4000*(1+0.04)^x

The solution is x=(ln(1.0546875))/(ln(1.04))

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4218.75 = 4000 \cdot (1 + 0.04)^{x}

x = \frac{ln ( 1.0546875 )}{ln ( 1.04 )}

Decimal Notation

x = 1.35756 \dots

Solution steps

4218.75 = 4000 (1 + 0.04)^{x}

Switch sides

4000 (1 + 0.04)^{x} = 4218.75

Divide both sides by

4000

(1 + 0.04)^{x} = 1.0546875

Apply exponent rules

x ln (1 + 0.04) = ln (1.0546875)

Solve

x ln (1 + 0.04) = ln (1.0546875) : x = \frac{ln ( 1.0546875 )}{ln ( 1.04 )}

x = \frac{ln ( 1.0546875 )}{ln ( 1.04 )}

2^{x + 1} = \frac{1}{16}

2 (2^{2 x}) - 3 (2^{x}) + 1 = 0

2^{x} = \frac{4 ^{7}}{4 ^{3}}

e^{m x} (m^{2} - 5 m + 6) = 0

x, 5^{x} = 31

What is the answer to 4218.75=4000*(1+0.04)^x ?
The answer to 4218.75=4000*(1+0.04)^x is x=(ln(1.0546875))/(ln(1.04))
Solve for x: 4218.75=4000*(1+0.04)^x
The solution is x=(ln(1.0546875))/(ln(1.04))