What is the answer to 1.002^x=2 ?

The answer to 1.002^x=2 is x=(ln(2))/(ln(1.002))

Solve for x: 1.002^x=2

The solution is x=(ln(2))/(ln(1.002))

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1.00 2^{x} = 2

x = \frac{ln ( 2 )}{ln ( 1.002 )}

Decimal Notation

x = 346.92004 \dots

Solution steps

1.00 2^{x} = 2

Apply exponent rules

x ln (1.002) = ln (2)

Solve

x ln (1.002) = ln (2) : x = \frac{ln ( 2 )}{ln ( 1.002 )}

x = \frac{ln ( 2 )}{ln ( 1.002 )}

3^{x + 2} = 1 0^{x}

2^{(2 x + 3)} = 3^{3 x}

5^{x} = 3125

3^{2 x + 1} - 10 (3^{x}) + 3 = 0

(\frac{1}{2})^{x} = 2

What is the answer to 1.002^x=2 ?
The answer to 1.002^x=2 is x=(ln(2))/(ln(1.002))
Solve for x: 1.002^x=2
The solution is x=(ln(2))/(ln(1.002))