What is the answer to 1*10^x=3 ?

The answer to 1*10^x=3 is x=(ln(3))/(ln(10))

Solve for x: 1*10^x=3

The solution is x=(ln(3))/(ln(10))

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1 \cdot 1 0^{x} = 3

x = \frac{ln ( 3 )}{ln ( 10 )}

Decimal Notation

x = 0.47712 \dots

Solution steps

1 \cdot 1 0^{x} = 3

Multiply:

1 \cdot 1 0^{x} = 1 0^{x}

1 0^{x} = 3

Apply exponent rules

x ln (10) = ln (3)

Solve

x ln (10) = ln (3) : x = \frac{ln ( 3 )}{ln ( 10 )}

x = \frac{ln ( 3 )}{ln ( 10 )}

4^{x} + 2^{x} = 8

16384 = 2^{x}

3^{x + 2} - 17 \cdot 3^{x - 1} = 30

4860 \cdot 0. 9^{x} = 20

5^{3 x - 2} = 4^{x}