What is the answer to 10^x=0.2 ?

The answer to 10^x=0.2 is x=(ln(0.2))/(ln(10))

Solve for x: 10^x=0.2

The solution is x=(ln(0.2))/(ln(10))

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1 0^{x} = 0.2

x = \frac{ln ( 0.2 )}{ln ( 10 )}

Solution steps

1 0^{x} = 0.2

Apply exponent rules

x ln (10) = ln (0.2)

Solve

x ln (10) = ln (0.2) : x = \frac{ln ( 0.2 )}{ln ( 10 )}

x = \frac{ln ( 0.2 )}{ln ( 10 )}

e^{4 x} = e^{8}

3^{5 x - 4} = 12

∣ 4 - 2^{x} ∣ = 10

19683 = 3^{n - 1}

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