What is the answer to solvefor t,-log_{10}(12)=-(((log_{10}(2)))/(5.1))t ?

The answer to solvefor t,-log_{10}(12)=-(((log_{10}(2)))/(5.1))t is t=5.1log_{2}(12)

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Solve for t - natural log of 12=-(( natural log of 2)/5.1)t

solve for

t, - lo g_{10} (12) = - (\frac{( lo g _{10} ( 2 ) )}{5.1}) t

t = 5.1 lo g_{2} (12)

Decimal

t = 18.28330 \dots

Solution steps

- lo g_{10} (12) = - (\frac{( lo g _{10} ( 2 ) )}{5.1}) t

Switch sides

- (\frac{( lo g _{10} ( 2 ) )}{5.1}) t = - lo g_{10} (12)

Simplify

- (\frac{lo g _{10} ( 2 )}{5.1}) : - \frac{lo g _{10} ( 2 )}{5.1}

(- \frac{lo g _{10} ( 2 )}{5.1}) t = - lo g_{10} (12)

Multiply both sides by

5.1

- lo g_{10} (2) t = - 5.1 lo g_{10} (12)

Divide both sides by

- lo g_{10} (2)

t = 5.1 lo g_{2} (12)

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What is the answer to solvefor t,-log_{10}(12)=-(((log_{10}(2)))/(5.1))t ?
The answer to solvefor t,-log_{10}(12)=-(((log_{10}(2)))/(5.1))t is t=5.1log_{2}(12)