What is the answer to 873*2^x=97 ?

The answer to 873*2^x=97 is x=-(2ln(3))/(ln(2))

Solve for x: 873*2^x=97

The solution is x=-(2ln(3))/(ln(2))

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873 \cdot 2^{x} = 97

x = - \frac{2 ln ( 3 )}{ln ( 2 )}

Decimal Notation

x = - 3.16992 \dots

Solution steps

873 \cdot 2^{x} = 97

Divide both sides by

873

2^{x} = \frac{1}{9}

Apply exponent rules

x ln (2) = ln (\frac{1}{9})

Solve

x ln (2) = ln (\frac{1}{9}) : x = - \frac{2 ln ( 3 )}{ln ( 2 )}

x = - \frac{2 ln ( 3 )}{ln ( 2 )}

5 (3^{x} - 6) = 10

\frac{e ^{2 x + 2}}{e ^{2}} = 4

9^{x - 1} = 81

3^{x + 2} = 81

7^{3 x - 8} = 7

What is the answer to 873*2^x=97 ?
The answer to 873*2^x=97 is x=-(2ln(3))/(ln(2))
Solve for x: 873*2^x=97
The solution is x=-(2ln(3))/(ln(2))