What is the answer to 93000*1.0987^x=156500 ?

The answer to 93000*1.0987^x=156500 is x=(ln(313/186))/(ln(1.0987))

Solve for x: 93000*1.0987^x=156500

The solution is x=(ln(313/186))/(ln(1.0987))

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93000 \cdot 1.098 7^{x} = 156500

x = \frac{ln ( \frac{313}{186} )}{ln ( 1.0987 )}

Decimal Notation

x = 5.52926 \dots

Solution steps

93000 \cdot 1.098 7^{x} = 156500

Divide both sides by

93000

1.098 7^{x} = \frac{313}{186}

Apply exponent rules

x ln (1.0987) = ln (\frac{313}{186})

Solve

x ln (1.0987) = ln (\frac{313}{186}) : x = \frac{ln ( \frac{313}{186} )}{ln ( 1.0987 )}

x = \frac{ln ( \frac{313}{186} )}{ln ( 1.0987 )}

3^{2 x + 1} - 7 \cdot 3^{x} + 4 = 0

e^{x} - e^{- x} = \frac{3}{2}

x, 3 y = - 5^{x} + 7

3^{5 x - 4} = 21

2^{4 x - 3} = 18

What is the answer to 93000*1.0987^x=156500 ?
The answer to 93000*1.0987^x=156500 is x=(ln(313/186))/(ln(1.0987))
Solve for x: 93000*1.0987^x=156500
The solution is x=(ln(313/186))/(ln(1.0987))