What is the answer to 1.05^x=50000 ?

The answer to 1.05^x=50000 is x=(ln(50000))/(ln(1.05))

Solve for x: 1.05^x=50000

The solution is x=(ln(50000))/(ln(1.05))

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1.0 5^{x} = 50000

x = \frac{ln ( 50000 )}{ln ( 1.05 )}

Decimal Notation

x = 221.76146 \dots

Solution steps

1.0 5^{x} = 50000

Apply exponent rules

x ln (1.05) = ln (50000)

Solve

x ln (1.05) = ln (50000) : x = \frac{ln ( 50000 )}{ln ( 1.05 )}

x = \frac{ln ( 50000 )}{ln ( 1.05 )}

a, (a^{b})^{2} = b^{a}

4^{x} - 3 = 2^{x + 1}

\frac{15 + 5 e ^{4 - x}}{5} + 3 = 13

4^{r} - 80 = 0

50 e^{0.035 x} = 200

What is the answer to 1.05^x=50000 ?
The answer to 1.05^x=50000 is x=(ln(50000))/(ln(1.05))
Solve for x: 1.05^x=50000
The solution is x=(ln(50000))/(ln(1.05))