What is the answer to 40000=5400*1.035^x ?

The answer to 40000=5400*1.035^x is x=(ln(200/27))/(ln(1.035))

Solve for x: 40000=5400*1.035^x

The solution is x=(ln(200/27))/(ln(1.035))

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40000 = 5400 \cdot 1.03 5^{x}

x = \frac{ln ( \frac{200}{27} )}{ln ( 1.035 )}

Decimal Notation

x = 58.20922 \dots

Solution steps

40000 = 5400 \cdot 1.03 5^{x}

Switch sides

5400 \cdot 1.03 5^{x} = 40000

Divide both sides by

5400

1.03 5^{x} = \frac{200}{27}

Apply exponent rules

x ln (1.035) = ln (\frac{200}{27})

Solve

x ln (1.035) = ln (\frac{200}{27}) : x = \frac{ln ( \frac{200}{27} )}{ln ( 1.035 )}

x = \frac{ln ( \frac{200}{27} )}{ln ( 1.035 )}

e^{9 x} = 4

2^{3 x} - 2^{7 x - 2} = 0

- 5 \cdot 7^{- 3 x - 6} - 8 = - 9

4 = 3^{x - 3}

x, 1 - e^{- x^{4}} = r

What is the answer to 40000=5400*1.035^x ?
The answer to 40000=5400*1.035^x is x=(ln(200/27))/(ln(1.035))
Solve for x: 40000=5400*1.035^x
The solution is x=(ln(200/27))/(ln(1.035))