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 (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 )}

3^{3 x + 1} = 8 1^{x - 1}

5^{x} = 2^{x + 1}

x^{5 + l o g_{10} (x)} = 1 0^{- 6}

3^{2 x + 3} = 243

x, 4^{x} + 5^{y} = 21

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))