What is the answer to 4.7=3000000(1+0.23)^n ?

The answer to 4.7=3000000(1+0.23)^n is n=(ln(1.56667E-6))/(ln(1.23))

Solve for n: 4.7=3000000(1+0.23)^n

The solution is n=(ln(1.56667E-6))/(ln(1.23))

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4.7 = 3000000 (1 + 0.23)^{n}

n = \frac{ln ( 1.56667 E - 6 )}{ln ( 1.23 )}

Decimal Notation

n = - 64.56833 \dots

Solution steps

4.7 = 3000000 (1 + 0.23)^{n}

Switch sides

3000000 (1 + 0.23)^{n} = 4.7

Divide both sides by

3000000

(1 + 0.23)^{n} = 1.56667 E - 6

Apply exponent rules

n ln (1 + 0.23) = ln (1.56667 E - 6)

Solve

n ln (1 + 0.23) = ln (1.56667 E - 6) : n = \frac{ln ( 1.56667 E - 6 )}{ln ( 1.23 )}

n = \frac{ln ( 1.56667 E - 6 )}{ln ( 1.23 )}

1 - e^{2 x} = 0

\frac{1}{4} = 2^{n}

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

8 = 2^{x + 4}

x, 3^{2 x - 1} = 28

What is the answer to 4.7=3000000(1+0.23)^n ?
The answer to 4.7=3000000(1+0.23)^n is n=(ln(1.56667E-6))/(ln(1.23))
Solve for n: 4.7=3000000(1+0.23)^n
The solution is n=(ln(1.56667E-6))/(ln(1.23))