What is the answer to 2=10^x ?

The answer to 2=10^x is x=(ln(2))/(ln(10))

The solution is x=(ln(2))/(ln(10))

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2=10^x

2 = 1 0^{x}

x = \frac{ln ( 2 )}{ln ( 10 )}

Decimal Notation

x = 0.30102 \dots

Solution steps

2 = 1 0^{x}

Apply exponent rules

ln (2) = x ln (10)

Solve

ln (2) = x ln (10) : x = \frac{ln ( 2 )}{ln ( 10 )}

x = \frac{ln ( 2 )}{ln ( 10 )}

y, e^{y} = p^{3} + p

15000 = 750 0^{3 x}

5^{x - 3} = 3^{x}

2 7^{81} = 3^{x}

4^{x} - 5 \cdot 2^{x} + 4 = 0