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Popular >

simplify 10log_{10}(i/(i_{0)})

Solution

simplify

10 lo g_{10} (\frac{i}{i _{0}})

Solution

0

Solution steps

10 lo g_{10} (\frac{i}{i _{0}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{i}{i _{0}}) = lo g_{10} (i) - lo g_{10} (i_{0})

= 10 (lo g_{10} (i) - lo g_{10} (i_{0}))

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (i_{0}) = lo g_{10} (i)

= 10 (lo g_{10} (i) - lo g_{10} (i))

Add similar elements:

lo g_{10} (i) - lo g_{10} (i) = 0

= 10 \cdot 0

Apply rule

0 \cdot a = 0

= 0

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Frequently Asked Questions (FAQ)

What is 10log_{10}(i/(i_{0)}) ?
The solution to 10log_{10}(i/(i_{0)}) is 0