What is the answer to 6300=3130*1.08^x ?

The answer to 6300=3130*1.08^x is x=(ln(630/313))/(ln(1.08))

Solve for x: 6300=3130*1.08^x

The solution is x=(ln(630/313))/(ln(1.08))

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6300 = 3130 \cdot 1.0 8^{x}

x = \frac{ln ( \frac{630}{313} )}{ln ( 1.08 )}

Decimal Notation

x = 9.08923 \dots

Solution steps

6300 = 3130 \cdot 1.0 8^{x}

Switch sides

3130 \cdot 1.0 8^{x} = 6300

Divide both sides by

3130

1.0 8^{x} = \frac{630}{313}

Apply exponent rules

x ln (1.08) = ln (\frac{630}{313})

Solve

x ln (1.08) = ln (\frac{630}{313}) : x = \frac{ln ( \frac{630}{313} )}{ln ( 1.08 )}

x = \frac{ln ( \frac{630}{313} )}{ln ( 1.08 )}

2^{r} = (\frac{1}{3})^{r - 1}

10 = 2^{\frac{t}{3}}

2 = 1. 2^{x}

5^{5 x + 2} = 15

e^{4 - 4 x} = 3

What is the answer to 6300=3130*1.08^x ?
The answer to 6300=3130*1.08^x is x=(ln(630/313))/(ln(1.08))
Solve for x: 6300=3130*1.08^x
The solution is x=(ln(630/313))/(ln(1.08))