10 log 10/10^-12

asked by guest
on Nov 23, 2024 at 7:16 am



You asked:

Evaluate the expression: 10log⁡(10)10−12\frac{10 \log\left( 10 \right)}{{10}^{-12}}

MathBot Answer:

10log⁡(10)10−12=10000000000000log⁡(10)≈23025850929940.45684017991454684364207601101489\frac{10 \log\left( 10 \right)}{{10}^{-12}} = 10000000000000 \log{\left(10 \right)} \approx 23025850929940.45684017991454684364207601101489

10log⁡(10)10−12=10⋅log⁡(10)⋅111012=10⋅log⁡(10)⋅111000000000000=10⋅1000000000000⋅log⁡(10)=10000000000000⋅log⁡(10)\begin{aligned}\frac{10 \log\left( 10 \right)}{{10}^{-12}}&=10 \cdot \log{\left(10 \right)} \cdot \frac{1}{\frac{1}{10^{12}}}\\&=10 \cdot \log{\left(10 \right)} \cdot \frac{1}{\frac{1}{1000000000000}}\\&=10 \cdot 1000000000000 \cdot \log{\left(10 \right)}\\&=10000000000000 \cdot \log{\left(10 \right)}\end{aligned}

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