What is the answer to 500000=65000(1.07)^x ?

The answer to 500000=65000(1.07)^x is x=(ln(100/13))/(ln(1.07))

Solve for x: 500000=65000(1.07)^x

The solution is x=(ln(100/13))/(ln(1.07))

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500000 = 65000 (1.07)^{x}

x = \frac{ln ( \frac{100}{13} )}{ln ( 1.07 )}

Decimal

x = 30.15461 \dots

Solution steps

500000 = 65000 (1.07)^{x}

Switch sides

65000 \cdot 1.0 7^{x} = 500000

Divide both sides by

65000

1.0 7^{x} = \frac{100}{13}

Apply exponent rules

x ln (1.07) = ln (\frac{100}{13})

Solve

x ln (1.07) = ln (\frac{100}{13}) : x = \frac{ln ( \frac{100}{13} )}{ln ( 1.07 )}

x = \frac{ln ( \frac{100}{13} )}{ln ( 1.07 )}

32768 = 2^{x}

5^{x + 1} = 25

7^{x + 2} = 3

(\frac{1}{12})^{x - 2} = 2^{4 \cdot x} \cdot 3^{2 \cdot x}

2 \cdot 3^{x + 1} + 3^{x + 3} = 33

What is the answer to 500000=65000(1.07)^x ?
The answer to 500000=65000(1.07)^x is x=(ln(100/13))/(ln(1.07))
Solve for x: 500000=65000(1.07)^x
The solution is x=(ln(100/13))/(ln(1.07))