What is the answer to 1000000=500000(1.0375)^x ?

The answer to 1000000=500000(1.0375)^x is x=(ln(2))/(ln(1.0375))

Solve for x: 1000000=500000(1.0375)^x

The solution is x=(ln(2))/(ln(1.0375))

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1000000 = 500000 (1.0375)^{x}

x = \frac{ln ( 2 )}{ln ( 1.0375 )}

Decimal Notation

x = 18.82837 \dots

Solution steps

1000000 = 500000 (1.0375)^{x}

Switch sides

500000 \cdot 1.037 5^{x} = 1000000

Divide both sides by

500000

1.037 5^{x} = 2

Apply exponent rules

x ln (1.0375) = ln (2)

Solve

x ln (1.0375) = ln (2) : x = \frac{ln ( 2 )}{ln ( 1.0375 )}

x = \frac{ln ( 2 )}{ln ( 1.0375 )}

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

8^{5 x - 1} = 32

5^{2 x - 1} = 4^{x + 3}

280 = 1400 - 1400 (0.9)^{t}

3^{x} = 33

What is the answer to 1000000=500000(1.0375)^x ?
The answer to 1000000=500000(1.0375)^x is x=(ln(2))/(ln(1.0375))
Solve for x: 1000000=500000(1.0375)^x
The solution is x=(ln(2))/(ln(1.0375))