What is the answer to 1.05^x=160 ?

The answer to 1.05^x=160 is x=(ln(160))/(ln(1.05))

Solve for x: 1.05^x=160

The solution is x=(ln(160))/(ln(1.05))

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1.0 5^{x} = 160

x = \frac{ln ( 160 )}{ln ( 1.05 )}

Decimal Notation

x = 104.02042 \dots

Solution steps

1.0 5^{x} = 160

Apply exponent rules

x ln (1.05) = ln (160)

Solve

x ln (1.05) = ln (160) : x = \frac{ln ( 160 )}{ln ( 1.05 )}

x = \frac{ln ( 160 )}{ln ( 1.05 )}

x^{x} = π

6^{x^{2}} = 3 6^{5 x - 8}

40 = 100 e^{- 0.03 t}

x, y = e^{x + y}

k, \frac{n}{2 ^{k}} = 0

What is the answer to 1.05^x=160 ?
The answer to 1.05^x=160 is x=(ln(160))/(ln(1.05))
Solve for x: 1.05^x=160
The solution is x=(ln(160))/(ln(1.05))