What is the answer to 160000*0.95^x=50000 ?

The answer to 160000*0.95^x=50000 is x=(ln(5/16))/(ln(0.95))

Solve for x: 160000*0.95^x=50000

The solution is x=(ln(5/16))/(ln(0.95))

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160000 \cdot 0.9 5^{x} = 50000

x = \frac{ln ( \frac{5}{16} )}{ln ( 0.95 )}

Decimal Notation

x = 22.67646 \dots

Solution steps

160000 \cdot 0.9 5^{x} = 50000

Divide both sides by

160000

0.9 5^{x} = \frac{5}{16}

Apply exponent rules

x ln (0.95) = ln (\frac{5}{16})

Solve

x ln (0.95) = ln (\frac{5}{16}) : x = \frac{ln ( \frac{5}{16} )}{ln ( 0.95 )}

x = \frac{ln ( \frac{5}{16} )}{ln ( 0.95 )}

4^{k l} = 6 4^{q}

6^{n} = 18

1 6^{3 - a} = 3 2^{a - 1}

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

e^{x} = x + 2

What is the answer to 160000*0.95^x=50000 ?
The answer to 160000*0.95^x=50000 is x=(ln(5/16))/(ln(0.95))
Solve for x: 160000*0.95^x=50000
The solution is x=(ln(5/16))/(ln(0.95))